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Simplifying 7q + -3(q + -6) = 6q Reorder the terms: 7q + -3(-6 + q) = 6q 7q + (-6 * -3 + q * -3) = 6q 7q + (18 + -3q) = 6q Reorder the terms: 18 + 7q + -3q = 6q Combine like terms: 7q + -3q = 4q 18 + 4q = 6q Solving 18 + 4q = 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 18 + 4q + -6q = 6q + -6q Combine like terms: 4q + -6q = -2q 18 + -2q = 6q + -6q Combine like terms: 6q + -6q = 0 18 + -2q = 0 Add '-18' to each side of the equation. 18 + -18 + -2q = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -2q = 0 + -18 -2q = 0 + -18 Combine like terms: 0 + -18 = -18 -2q = -18 Divide each side by '-2'. q = 9 Simplifying q = 9
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