Balance the following equations. (b) Ca₃(PO₄)₂(s) + SiO₂(s) + C(s) --> P₄(g) + CaSiO₃(l) + CO(g)

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Step 1: Identify the different types of atoms in the equation. In this case, we have Calcium (Ca), Phosphorus (P), Oxygen (O), Silicon (Si), and Carbon (C).

Step 2: Start by balancing the atoms that appear in the most complex molecules first. In this case, we can start with Phosphorus (P). There are 2 P atoms on the left side and 4 on the right side. To balance this, we can put a coefficient of 2 in front of Ca3(PO4)2.

Step 3: Next, balance the Calcium (Ca) atoms. There are 6 Ca atoms on the left side and 1 on the right side. To balance this, we can put a coefficient of 6 in front of CaSiO3.

Step 4: Now, balance the Silicon (Si) atoms. There is 1 Si atom on the left side and 6 on the right side. To balance this, we can put a coefficient of 6 in front of SiO2.

Step 5: Finally, balance the Carbon (C) and Oxygen (O) atoms. There are 8 O atoms on the left side and 18 on the right side, and 1 C atom on the left side and 1 on the right side. To balance this, we can put a coefficient of 10 in front of CO.

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