Solve the given linear equation, then check your answer
$0.5t+1.5t=7+3-4$

• A. $t=1$
• B. $t=-6$
• C. $t=3$
• D. $t=-3$

Answer: (C)

Verified step by step guidance

1. Combine like terms on the left side of the equation. Since both terms have the variable \(t\), add their coefficients: \$0.5t + 1.5t\( becomes \)(0.5 + 1.5)t$.
2. Simplify the right side of the equation by performing the arithmetic operations: \$7 + 3 - 4$.
3. Rewrite the equation with the simplified left and right sides, resulting in an equation of the form \(2t = \text{(simplified number)}\).
4. Solve for \(t\) by dividing both sides of the equation by the coefficient of \(t\), which is 2, to isolate the variable.
5. Check your solution by substituting the value of \(t\) back into the original equation to verify that both sides are equal.