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Simplifying 6 + -1(2q + 5) = 4 + -1q Reorder the terms: 6 + -1(5 + 2q) = 4 + -1q 6 + (5 * -1 + 2q * -1) = 4 + -1q 6 + (-5 + -2q) = 4 + -1q Combine like terms: 6 + -5 = 1 1 + -2q = 4 + -1q Solving 1 + -2q = 4 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 1 + -2q + q = 4 + -1q + q Combine like terms: -2q + q = -1q 1 + -1q = 4 + -1q + q Combine like terms: -1q + q = 0 1 + -1q = 4 + 0 1 + -1q = 4 Add '-1' to each side of the equation. 1 + -1 + -1q = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1q = 4 + -1 -1q = 4 + -1 Combine like terms: 4 + -1 = 3 -1q = 3 Divide each side by '-1'. q = -3 Simplifying q = -3
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