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Simplifying -1[6q + -1(4q + 8)] = 9 + (6Q + 3) Reorder the terms: -1[6q + -1(8 + 4q)] = 9 + (6Q + 3) -1[6q + (8 * -1 + 4q * -1)] = 9 + (6Q + 3) -1[6q + (-8 + -4q)] = 9 + (6Q + 3) Reorder the terms: -1[-8 + 6q + -4q] = 9 + (6Q + 3) Combine like terms: 6q + -4q = 2q -1[-8 + 2q] = 9 + (6Q + 3) [-8 * -1 + 2q * -1] = 9 + (6Q + 3) [8 + -2q] = 9 + (6Q + 3) Reorder the terms: 8 + -2q = 9 + (3 + 6Q) Remove parenthesis around (3 + 6Q) 8 + -2q = 9 + 3 + 6Q Combine like terms: 9 + 3 = 12 8 + -2q = 12 + 6Q Solving 8 + -2q = 12 + 6Q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2q = 12 + -8 + 6Q Combine like terms: 8 + -8 = 0 0 + -2q = 12 + -8 + 6Q -2q = 12 + -8 + 6Q Combine like terms: 12 + -8 = 4 -2q = 4 + 6Q Divide each side by '-2'. q = -2 + -3Q Simplifying q = -2 + -3Q
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