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Simplifying -5(3 + -9) + 4 = 5q + -11 Combine like terms: 3 + -9 = -6 -5(-6) + 4 = 5q + -11 Multiply -5 * -6 30 + 4 = 5q + -11 Combine like terms: 30 + 4 = 34 34 = 5q + -11 Reorder the terms: 34 = -11 + 5q Solving 34 = -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. 34 + -5q = -11 + 5q + -5q Combine like terms: 5q + -5q = 0 34 + -5q = -11 + 0 34 + -5q = -11 Add '-34' to each side of the equation. 34 + -34 + -5q = -11 + -34 Combine like terms: 34 + -34 = 0 0 + -5q = -11 + -34 -5q = -11 + -34 Combine like terms: -11 + -34 = -45 -5q = -45 Divide each side by '-5'. q = 9 Simplifying q = 9
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