Simplify the algebraic expression that arises when substituting x = 3 into the distributive expression 4(x + 2): what numeric value results after distributing and combining?

Solve for x: 3(2x − 4) + 5 = 2(x + 1) + 14.

Given the simple linear formula y = mx + b, solve symbolically for x in terms of y, m, and b (assume m ≠ 0).

Given the formula for compound interest A = P(1 + r/n)^nt, isolate r symbolically (write r in terms of A, P, n, and t).

The ideal gas law for a fixed amount of gas is pV = nRT. If n = 0.50 mol, R = 0.08206 L·atm/(mol·K), T = 300 K, compute pressure p when V = 12 L.