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Simplifying 5(3 + -1q) + 4 = 5q + -11 (3 * 5 + -1q * 5) + 4 = 5q + -11 (15 + -5q) + 4 = 5q + -11 Reorder the terms: 15 + 4 + -5q = 5q + -11 Combine like terms: 15 + 4 = 19 19 + -5q = 5q + -11 Reorder the terms: 19 + -5q = -11 + 5q Solving 19 + -5q = -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 + -5q = -11 + 5q + -5q Combine like terms: -5q + -5q = -10q 19 + -10q = -11 + 5q + -5q Combine like terms: 5q + -5q = 0 19 + -10q = -11 + 0 19 + -10q = -11 Add '-19' to each side of the equation. 19 + -19 + -10q = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -10q = -11 + -19 -10q = -11 + -19 Combine like terms: -11 + -19 = -30 -10q = -30 Divide each side by '-10'. q = 3 Simplifying q = 3
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