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Simplifying -5(3 + -4) + 4 = 5q + -11 Combine like terms: 3 + -4 = -1 -5(-1) + 4 = 5q + -11 Multiply -5 * -1 5 + 4 = 5q + -11 Combine like terms: 5 + 4 = 9 9 = 5q + -11 Reorder the terms: 9 = -11 + 5q Solving 9 = -11 + 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. 9 + -5q = -11 + 5q + -5q Combine like terms: 5q + -5q = 0 9 + -5q = -11 + 0 9 + -5q = -11 Add '-9' to each side of the equation. 9 + -9 + -5q = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -5q = -11 + -9 -5q = -11 + -9 Combine like terms: -11 + -9 = -20 -5q = -20 Divide each side by '-5'. q = 4 Simplifying q = 4
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