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Simplifying 2(-18q + 6) = -6(15 + -11q) Reorder the terms: 2(6 + -18q) = -6(15 + -11q) (6 * 2 + -18q * 2) = -6(15 + -11q) (12 + -36q) = -6(15 + -11q) 12 + -36q = (15 * -6 + -11q * -6) 12 + -36q = (-90 + 66q) Solving 12 + -36q = -90 + 66q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-66q' to each side of the equation. 12 + -36q + -66q = -90 + 66q + -66q Combine like terms: -36q + -66q = -102q 12 + -102q = -90 + 66q + -66q Combine like terms: 66q + -66q = 0 12 + -102q = -90 + 0 12 + -102q = -90 Add '-12' to each side of the equation. 12 + -12 + -102q = -90 + -12 Combine like terms: 12 + -12 = 0 0 + -102q = -90 + -12 -102q = -90 + -12 Combine like terms: -90 + -12 = -102 -102q = -102 Divide each side by '-102'. q = 1 Simplifying q = 1
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