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Simplifying 8q + 12 = 4(3 + 4q) Reorder the terms: 12 + 8q = 4(3 + 4q) 12 + 8q = (3 * 4 + 4q * 4) 12 + 8q = (12 + 16q) Add '-12' to each side of the equation. 12 + -12 + 8q = 12 + -12 + 16q Combine like terms: 12 + -12 = 0 0 + 8q = 12 + -12 + 16q 8q = 12 + -12 + 16q Combine like terms: 12 + -12 = 0 8q = 0 + 16q 8q = 16q Solving 8q = 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. 8q + -16q = 16q + -16q Combine like terms: 8q + -16q = -8q -8q = 16q + -16q Combine like terms: 16q + -16q = 0 -8q = 0 Divide each side by '-8'. q = 0 Simplifying q = 0
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