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Simplifying 5 + 3(5q + -20) = 2(5q + 1) Reorder the terms: 5 + 3(-20 + 5q) = 2(5q + 1) 5 + (-20 * 3 + 5q * 3) = 2(5q + 1) 5 + (-60 + 15q) = 2(5q + 1) Combine like terms: 5 + -60 = -55 -55 + 15q = 2(5q + 1) Reorder the terms: -55 + 15q = 2(1 + 5q) -55 + 15q = (1 * 2 + 5q * 2) -55 + 15q = (2 + 10q) Solving -55 + 15q = 2 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. -55 + 15q + -10q = 2 + 10q + -10q Combine like terms: 15q + -10q = 5q -55 + 5q = 2 + 10q + -10q Combine like terms: 10q + -10q = 0 -55 + 5q = 2 + 0 -55 + 5q = 2 Add '55' to each side of the equation. -55 + 55 + 5q = 2 + 55 Combine like terms: -55 + 55 = 0 0 + 5q = 2 + 55 5q = 2 + 55 Combine like terms: 2 + 55 = 57 5q = 57 Divide each side by '5'. q = 11.4 Simplifying q = 11.4
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