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Simplifying 3(q + -2) + 2 = 8q + -7 + -2q Reorder the terms: 3(-2 + q) + 2 = 8q + -7 + -2q (-2 * 3 + q * 3) + 2 = 8q + -7 + -2q (-6 + 3q) + 2 = 8q + -7 + -2q Reorder the terms: -6 + 2 + 3q = 8q + -7 + -2q Combine like terms: -6 + 2 = -4 -4 + 3q = 8q + -7 + -2q Reorder the terms: -4 + 3q = -7 + 8q + -2q Combine like terms: 8q + -2q = 6q -4 + 3q = -7 + 6q Solving -4 + 3q = -7 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -4 + 3q + -6q = -7 + 6q + -6q Combine like terms: 3q + -6q = -3q -4 + -3q = -7 + 6q + -6q Combine like terms: 6q + -6q = 0 -4 + -3q = -7 + 0 -4 + -3q = -7 Add '4' to each side of the equation. -4 + 4 + -3q = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -3q = -7 + 4 -3q = -7 + 4 Combine like terms: -7 + 4 = -3 -3q = -3 Divide each side by '-3'. q = 1 Simplifying q = 1
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