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Simplifying (2q + 3) + -1(q + -2) = 2q + -7 Reorder the terms: (3 + 2q) + -1(q + -2) = 2q + -7 Remove parenthesis around (3 + 2q) 3 + 2q + -1(q + -2) = 2q + -7 Reorder the terms: 3 + 2q + -1(-2 + q) = 2q + -7 3 + 2q + (-2 * -1 + q * -1) = 2q + -7 3 + 2q + (2 + -1q) = 2q + -7 Reorder the terms: 3 + 2 + 2q + -1q = 2q + -7 Combine like terms: 3 + 2 = 5 5 + 2q + -1q = 2q + -7 Combine like terms: 2q + -1q = 1q 5 + 1q = 2q + -7 Reorder the terms: 5 + 1q = -7 + 2q Solving 5 + 1q = -7 + 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. 5 + 1q + -2q = -7 + 2q + -2q Combine like terms: 1q + -2q = -1q 5 + -1q = -7 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + -1q = -7 + 0 5 + -1q = -7 Add '-5' to each side of the equation. 5 + -5 + -1q = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1q = -7 + -5 -1q = -7 + -5 Combine like terms: -7 + -5 = -12 -1q = -12 Divide each side by '-1'. q = 12 Simplifying q = 12
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