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Simplifying 15(3 + -1q) + 4 = 5q + -11 (3 * 15 + -1q * 15) + 4 = 5q + -11 (45 + -15q) + 4 = 5q + -11 Reorder the terms: 45 + 4 + -15q = 5q + -11 Combine like terms: 45 + 4 = 49 49 + -15q = 5q + -11 Reorder the terms: 49 + -15q = -11 + 5q Solving 49 + -15q = -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. 49 + -15q + -5q = -11 + 5q + -5q Combine like terms: -15q + -5q = -20q 49 + -20q = -11 + 5q + -5q Combine like terms: 5q + -5q = 0 49 + -20q = -11 + 0 49 + -20q = -11 Add '-49' to each side of the equation. 49 + -49 + -20q = -11 + -49 Combine like terms: 49 + -49 = 0 0 + -20q = -11 + -49 -20q = -11 + -49 Combine like terms: -11 + -49 = -60 -20q = -60 Divide each side by '-20'. q = 3 Simplifying q = 3
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