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Simplifying -7 + 8(5 + -3q) = 3(7 + -9q) -7 + (5 * 8 + -3q * 8) = 3(7 + -9q) -7 + (40 + -24q) = 3(7 + -9q) Combine like terms: -7 + 40 = 33 33 + -24q = 3(7 + -9q) 33 + -24q = (7 * 3 + -9q * 3) 33 + -24q = (21 + -27q) Solving 33 + -24q = 21 + -27q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '27q' to each side of the equation. 33 + -24q + 27q = 21 + -27q + 27q Combine like terms: -24q + 27q = 3q 33 + 3q = 21 + -27q + 27q Combine like terms: -27q + 27q = 0 33 + 3q = 21 + 0 33 + 3q = 21 Add '-33' to each side of the equation. 33 + -33 + 3q = 21 + -33 Combine like terms: 33 + -33 = 0 0 + 3q = 21 + -33 3q = 21 + -33 Combine like terms: 21 + -33 = -12 3q = -12 Divide each side by '3'. q = -4 Simplifying q = -4
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