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Simplifying 7(3q + -8) = 5(3q + 2) Reorder the terms: 7(-8 + 3q) = 5(3q + 2) (-8 * 7 + 3q * 7) = 5(3q + 2) (-56 + 21q) = 5(3q + 2) Reorder the terms: -56 + 21q = 5(2 + 3q) -56 + 21q = (2 * 5 + 3q * 5) -56 + 21q = (10 + 15q) Solving -56 + 21q = 10 + 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. -56 + 21q + -15q = 10 + 15q + -15q Combine like terms: 21q + -15q = 6q -56 + 6q = 10 + 15q + -15q Combine like terms: 15q + -15q = 0 -56 + 6q = 10 + 0 -56 + 6q = 10 Add '56' to each side of the equation. -56 + 56 + 6q = 10 + 56 Combine like terms: -56 + 56 = 0 0 + 6q = 10 + 56 6q = 10 + 56 Combine like terms: 10 + 56 = 66 6q = 66 Divide each side by '6'. q = 11 Simplifying q = 11
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