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Simplifying 4 + 6q = -1(3q + 3) Reorder the terms: 4 + 6q = -1(3 + 3q) 4 + 6q = (3 * -1 + 3q * -1) 4 + 6q = (-3 + -3q) Solving 4 + 6q = -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. 4 + 6q + 3q = -3 + -3q + 3q Combine like terms: 6q + 3q = 9q 4 + 9q = -3 + -3q + 3q Combine like terms: -3q + 3q = 0 4 + 9q = -3 + 0 4 + 9q = -3 Add '-4' to each side of the equation. 4 + -4 + 9q = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 9q = -3 + -4 9q = -3 + -4 Combine like terms: -3 + -4 = -7 9q = -7 Divide each side by '9'. q = -0.7777777778 Simplifying q = -0.7777777778
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