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Simplifying -5(3 + -6) + 4 = 5q + -11 Combine like terms: 3 + -6 = -3 -5(-3) + 4 = 5q + -11 Multiply -5 * -3 15 + 4 = 5q + -11 Combine like terms: 15 + 4 = 19 19 = 5q + -11 Reorder the terms: 19 = -11 + 5q Solving 19 = -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. 19 + -5q = -11 + 5q + -5q Combine like terms: 5q + -5q = 0 19 + -5q = -11 + 0 19 + -5q = -11 Add '-19' to each side of the equation. 19 + -19 + -5q = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -5q = -11 + -19 -5q = -11 + -19 Combine like terms: -11 + -19 = -30 -5q = -30 Divide each side by '-5'. q = 6 Simplifying q = 6
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