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Simplifying 37 + -5(q + -3) = 8 + -1(q + 7) Reorder the terms: 37 + -5(-3 + q) = 8 + -1(q + 7) 37 + (-3 * -5 + q * -5) = 8 + -1(q + 7) 37 + (15 + -5q) = 8 + -1(q + 7) Combine like terms: 37 + 15 = 52 52 + -5q = 8 + -1(q + 7) Reorder the terms: 52 + -5q = 8 + -1(7 + q) 52 + -5q = 8 + (7 * -1 + q * -1) 52 + -5q = 8 + (-7 + -1q) Combine like terms: 8 + -7 = 1 52 + -5q = 1 + -1q Solving 52 + -5q = 1 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 52 + -5q + q = 1 + -1q + q Combine like terms: -5q + q = -4q 52 + -4q = 1 + -1q + q Combine like terms: -1q + q = 0 52 + -4q = 1 + 0 52 + -4q = 1 Add '-52' to each side of the equation. 52 + -52 + -4q = 1 + -52 Combine like terms: 52 + -52 = 0 0 + -4q = 1 + -52 -4q = 1 + -52 Combine like terms: 1 + -52 = -51 -4q = -51 Divide each side by '-4'. q = 12.75 Simplifying q = 12.75
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