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Simplifying -7(q + 1) + 2 = 9 + -1(q + 2) Reorder the terms: -7(1 + q) + 2 = 9 + -1(q + 2) (1 * -7 + q * -7) + 2 = 9 + -1(q + 2) (-7 + -7q) + 2 = 9 + -1(q + 2) Reorder the terms: -7 + 2 + -7q = 9 + -1(q + 2) Combine like terms: -7 + 2 = -5 -5 + -7q = 9 + -1(q + 2) Reorder the terms: -5 + -7q = 9 + -1(2 + q) -5 + -7q = 9 + (2 * -1 + q * -1) -5 + -7q = 9 + (-2 + -1q) Combine like terms: 9 + -2 = 7 -5 + -7q = 7 + -1q Solving -5 + -7q = 7 + -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. -5 + -7q + q = 7 + -1q + q Combine like terms: -7q + q = -6q -5 + -6q = 7 + -1q + q Combine like terms: -1q + q = 0 -5 + -6q = 7 + 0 -5 + -6q = 7 Add '5' to each side of the equation. -5 + 5 + -6q = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6q = 7 + 5 -6q = 7 + 5 Combine like terms: 7 + 5 = 12 -6q = 12 Divide each side by '-6'. q = -2 Simplifying q = -2
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