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Simplifying 4(1 + 2q) = 12q (1 * 4 + 2q * 4) = 12q (4 + 8q) = 12q Solving 4 + 8q = 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 4 + 8q + -12q = 12q + -12q Combine like terms: 8q + -12q = -4q 4 + -4q = 12q + -12q Combine like terms: 12q + -12q = 0 4 + -4q = 0 Add '-4' to each side of the equation. 4 + -4 + -4q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4q = 0 + -4 -4q = 0 + -4 Combine like terms: 0 + -4 = -4 -4q = -4 Divide each side by '-4'. q = 1 Simplifying q = 1
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