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Simplifying 4 + -1(q + -3) = 6 + -2q Reorder the terms: 4 + -1(-3 + q) = 6 + -2q 4 + (-3 * -1 + q * -1) = 6 + -2q 4 + (3 + -1q) = 6 + -2q Combine like terms: 4 + 3 = 7 7 + -1q = 6 + -2q Solving 7 + -1q = 6 + -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. 7 + -1q + 2q = 6 + -2q + 2q Combine like terms: -1q + 2q = 1q 7 + 1q = 6 + -2q + 2q Combine like terms: -2q + 2q = 0 7 + 1q = 6 + 0 7 + 1q = 6 Add '-7' to each side of the equation. 7 + -7 + 1q = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1q = 6 + -7 1q = 6 + -7 Combine like terms: 6 + -7 = -1 1q = -1 Divide each side by '1'. q = -1 Simplifying q = -1
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