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Simplifying 5 + -3(q + -7) = 2(2 + -1q) + -8 Reorder the terms: 5 + -3(-7 + q) = 2(2 + -1q) + -8 5 + (-7 * -3 + q * -3) = 2(2 + -1q) + -8 5 + (21 + -3q) = 2(2 + -1q) + -8 Combine like terms: 5 + 21 = 26 26 + -3q = 2(2 + -1q) + -8 26 + -3q = (2 * 2 + -1q * 2) + -8 26 + -3q = (4 + -2q) + -8 Reorder the terms: 26 + -3q = 4 + -8 + -2q Combine like terms: 4 + -8 = -4 26 + -3q = -4 + -2q Solving 26 + -3q = -4 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 26 + -3q + 2q = -4 + -2q + 2q Combine like terms: -3q + 2q = -1q 26 + -1q = -4 + -2q + 2q Combine like terms: -2q + 2q = 0 26 + -1q = -4 + 0 26 + -1q = -4 Add '-26' to each side of the equation. 26 + -26 + -1q = -4 + -26 Combine like terms: 26 + -26 = 0 0 + -1q = -4 + -26 -1q = -4 + -26 Combine like terms: -4 + -26 = -30 -1q = -30 Divide each side by '-1'. q = 30 Simplifying q = 30
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