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Simplifying 8 + 5(3q + -4) = 7(9 + -12) Reorder the terms: 8 + 5(-4 + 3q) = 7(9 + -12) 8 + (-4 * 5 + 3q * 5) = 7(9 + -12) 8 + (-20 + 15q) = 7(9 + -12) Combine like terms: 8 + -20 = -12 -12 + 15q = 7(9 + -12) Combine like terms: 9 + -12 = -3 -12 + 15q = 7(-3) Multiply 7 * -3 -12 + 15q = -21 Solving -12 + 15q = -21 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 15q = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 15q = -21 + 12 15q = -21 + 12 Combine like terms: -21 + 12 = -9 15q = -9 Divide each side by '15'. q = -0.6 Simplifying q = -0.6
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