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Simplifying 6q + -4(q + -6) = 4q Reorder the terms: 6q + -4(-6 + q) = 4q 6q + (-6 * -4 + q * -4) = 4q 6q + (24 + -4q) = 4q Reorder the terms: 24 + 6q + -4q = 4q Combine like terms: 6q + -4q = 2q 24 + 2q = 4q Solving 24 + 2q = 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 24 + 2q + -4q = 4q + -4q Combine like terms: 2q + -4q = -2q 24 + -2q = 4q + -4q Combine like terms: 4q + -4q = 0 24 + -2q = 0 Add '-24' to each side of the equation. 24 + -24 + -2q = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2q = 0 + -24 -2q = 0 + -24 Combine like terms: 0 + -24 = -24 -2q = -24 Divide each side by '-2'. q = 12 Simplifying q = 12
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