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Simplifying 5q + -5 = -3(-1q + -1) Reorder the terms: -5 + 5q = -3(-1q + -1) Reorder the terms: -5 + 5q = -3(-1 + -1q) -5 + 5q = (-1 * -3 + -1q * -3) -5 + 5q = (3 + 3q) Solving -5 + 5q = 3 + 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 = 3 + 3q + -3q Combine like terms: 5q + -3q = 2q -5 + 2q = 3 + 3q + -3q Combine like terms: 3q + -3q = 0 -5 + 2q = 3 + 0 -5 + 2q = 3 Add '5' to each side of the equation. -5 + 5 + 2q = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2q = 3 + 5 2q = 3 + 5 Combine like terms: 3 + 5 = 8 2q = 8 Divide each side by '2'. q = 4 Simplifying q = 4
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