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Simplifying -5(q + 1) = 79 + -3q Reorder the terms: -5(1 + q) = 79 + -3q (1 * -5 + q * -5) = 79 + -3q (-5 + -5q) = 79 + -3q Solving -5 + -5q = 79 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. -5 + -5q + 3q = 79 + -3q + 3q Combine like terms: -5q + 3q = -2q -5 + -2q = 79 + -3q + 3q Combine like terms: -3q + 3q = 0 -5 + -2q = 79 + 0 -5 + -2q = 79 Add '5' to each side of the equation. -5 + 5 + -2q = 79 + 5 Combine like terms: -5 + 5 = 0 0 + -2q = 79 + 5 -2q = 79 + 5 Combine like terms: 79 + 5 = 84 -2q = 84 Divide each side by '-2'. q = -42 Simplifying q = -42
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