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Simplifying 5 + 11q = 7q + -3(-2q + -2) Reorder the terms: 5 + 11q = 7q + -3(-2 + -2q) 5 + 11q = 7q + (-2 * -3 + -2q * -3) 5 + 11q = 7q + (6 + 6q) Reorder the terms: 5 + 11q = 6 + 7q + 6q Combine like terms: 7q + 6q = 13q 5 + 11q = 6 + 13q Solving 5 + 11q = 6 + 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. 5 + 11q + -13q = 6 + 13q + -13q Combine like terms: 11q + -13q = -2q 5 + -2q = 6 + 13q + -13q Combine like terms: 13q + -13q = 0 5 + -2q = 6 + 0 5 + -2q = 6 Add '-5' to each side of the equation. 5 + -5 + -2q = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -2q = 6 + -5 -2q = 6 + -5 Combine like terms: 6 + -5 = 1 -2q = 1 Divide each side by '-2'. q = -0.5 Simplifying q = -0.5
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