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Simplifying 3 = -1(1 + 3q) + 5q 3 = (1 * -1 + 3q * -1) + 5q 3 = (-1 + -3q) + 5q Combine like terms: -3q + 5q = 2q 3 = -1 + 2q Solving 3 = -1 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 3 + -2q = -1 + 2q + -2q Combine like terms: 2q + -2q = 0 3 + -2q = -1 + 0 3 + -2q = -1 Add '-3' to each side of the equation. 3 + -3 + -2q = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -2q = -1 + -3 -2q = -1 + -3 Combine like terms: -1 + -3 = -4 -2q = -4 Divide each side by '-2'. q = 2 Simplifying q = 2
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