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Simplifying 2(2q + 37) = -3q + 88 Reorder the terms: 2(37 + 2q) = -3q + 88 (37 * 2 + 2q * 2) = -3q + 88 (74 + 4q) = -3q + 88 Reorder the terms: 74 + 4q = 88 + -3q Solving 74 + 4q = 88 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 74 + 4q + 3q = 88 + -3q + 3q Combine like terms: 4q + 3q = 7q 74 + 7q = 88 + -3q + 3q Combine like terms: -3q + 3q = 0 74 + 7q = 88 + 0 74 + 7q = 88 Add '-74' to each side of the equation. 74 + -74 + 7q = 88 + -74 Combine like terms: 74 + -74 = 0 0 + 7q = 88 + -74 7q = 88 + -74 Combine like terms: 88 + -74 = 14 7q = 14 Divide each side by '7'. q = 2 Simplifying q = 2
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