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Simplifying 2 = 7(q + 2) + 3(2q + -1) Reorder the terms: 2 = 7(2 + q) + 3(2q + -1) 2 = (2 * 7 + q * 7) + 3(2q + -1) 2 = (14 + 7q) + 3(2q + -1) Reorder the terms: 2 = 14 + 7q + 3(-1 + 2q) 2 = 14 + 7q + (-1 * 3 + 2q * 3) 2 = 14 + 7q + (-3 + 6q) Reorder the terms: 2 = 14 + -3 + 7q + 6q Combine like terms: 14 + -3 = 11 2 = 11 + 7q + 6q Combine like terms: 7q + 6q = 13q 2 = 11 + 13q Solving 2 = 11 + 13q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13q' to each side of the equation. 2 + -13q = 11 + 13q + -13q Combine like terms: 13q + -13q = 0 2 + -13q = 11 + 0 2 + -13q = 11 Add '-2' to each side of the equation. 2 + -2 + -13q = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -13q = 11 + -2 -13q = 11 + -2 Combine like terms: 11 + -2 = 9 -13q = 9 Divide each side by '-13'. q = -0.6923076923 Simplifying q = -0.6923076923
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