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Simplifying 2(q + -2) + 6 = 7(q + -1) + -2(q + -6) Reorder the terms: 2(-2 + q) + 6 = 7(q + -1) + -2(q + -6) (-2 * 2 + q * 2) + 6 = 7(q + -1) + -2(q + -6) (-4 + 2q) + 6 = 7(q + -1) + -2(q + -6) Reorder the terms: -4 + 6 + 2q = 7(q + -1) + -2(q + -6) Combine like terms: -4 + 6 = 2 2 + 2q = 7(q + -1) + -2(q + -6) Reorder the terms: 2 + 2q = 7(-1 + q) + -2(q + -6) 2 + 2q = (-1 * 7 + q * 7) + -2(q + -6) 2 + 2q = (-7 + 7q) + -2(q + -6) Reorder the terms: 2 + 2q = -7 + 7q + -2(-6 + q) 2 + 2q = -7 + 7q + (-6 * -2 + q * -2) 2 + 2q = -7 + 7q + (12 + -2q) Reorder the terms: 2 + 2q = -7 + 12 + 7q + -2q Combine like terms: -7 + 12 = 5 2 + 2q = 5 + 7q + -2q Combine like terms: 7q + -2q = 5q 2 + 2q = 5 + 5q Solving 2 + 2q = 5 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 2 + 2q + -5q = 5 + 5q + -5q Combine like terms: 2q + -5q = -3q 2 + -3q = 5 + 5q + -5q Combine like terms: 5q + -5q = 0 2 + -3q = 5 + 0 2 + -3q = 5 Add '-2' to each side of the equation. 2 + -2 + -3q = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -3q = 5 + -2 -3q = 5 + -2 Combine like terms: 5 + -2 = 3 -3q = 3 Divide each side by '-3'. q = -1 Simplifying q = -1
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