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Simplifying 3(-1w + -6) = 2(2w + 8) + q Reorder the terms: 3(-6 + -1w) = 2(2w + 8) + q (-6 * 3 + -1w * 3) = 2(2w + 8) + q (-18 + -3w) = 2(2w + 8) + q Reorder the terms: -18 + -3w = 2(8 + 2w) + q -18 + -3w = (8 * 2 + 2w * 2) + q -18 + -3w = (16 + 4w) + q Reorder the terms: -18 + -3w = 16 + q + 4w Solving -18 + -3w = 16 + q + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -18 + -3w + -4w = 16 + q + 4w + -4w Combine like terms: -3w + -4w = -7w -18 + -7w = 16 + q + 4w + -4w Combine like terms: 4w + -4w = 0 -18 + -7w = 16 + q + 0 -18 + -7w = 16 + q Add '18' to each side of the equation. -18 + 18 + -7w = 16 + 18 + q Combine like terms: -18 + 18 = 0 0 + -7w = 16 + 18 + q -7w = 16 + 18 + q Combine like terms: 16 + 18 = 34 -7w = 34 + q Divide each side by '-7'. w = -4.857142857 + -0.1428571429q Simplifying w = -4.857142857 + -0.1428571429q
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