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