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Simplifying 8 + 5(3q + -4) = 7(q + -12) Reorder the terms: 8 + 5(-4 + 3q) = 7(q + -12) 8 + (-4 * 5 + 3q * 5) = 7(q + -12) 8 + (-20 + 15q) = 7(q + -12) Combine like terms: 8 + -20 = -12 -12 + 15q = 7(q + -12) Reorder the terms: -12 + 15q = 7(-12 + q) -12 + 15q = (-12 * 7 + q * 7) -12 + 15q = (-84 + 7q) Solving -12 + 15q = -84 + 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. -12 + 15q + -7q = -84 + 7q + -7q Combine like terms: 15q + -7q = 8q -12 + 8q = -84 + 7q + -7q Combine like terms: 7q + -7q = 0 -12 + 8q = -84 + 0 -12 + 8q = -84 Add '12' to each side of the equation. -12 + 12 + 8q = -84 + 12 Combine like terms: -12 + 12 = 0 0 + 8q = -84 + 12 8q = -84 + 12 Combine like terms: -84 + 12 = -72 8q = -72 Divide each side by '8'. q = -9 Simplifying q = -9
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