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Simplifying 8 + 5(3q + -4) = 7q + -12 Reorder the terms: 8 + 5(-4 + 3q) = 7q + -12 8 + (-4 * 5 + 3q * 5) = 7q + -12 8 + (-20 + 15q) = 7q + -12 Combine like terms: 8 + -20 = -12 -12 + 15q = 7q + -12 Reorder the terms: -12 + 15q = -12 + 7q Add '12' to each side of the equation. -12 + 12 + 15q = -12 + 12 + 7q Combine like terms: -12 + 12 = 0 0 + 15q = -12 + 12 + 7q 15q = -12 + 12 + 7q Combine like terms: -12 + 12 = 0 15q = 0 + 7q 15q = 7q Solving 15q = 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 15q + -7q = 7q + -7q Combine like terms: 15q + -7q = 8q 8q = 7q + -7q Combine like terms: 7q + -7q = 0 8q = 0 Divide each side by '8'. q = 0 Simplifying q = 0
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