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Simplifying -2(w + 3) = w + -6 + 3(4w + 6) Reorder the terms: -2(3 + w) = w + -6 + 3(4w + 6) (3 * -2 + w * -2) = w + -6 + 3(4w + 6) (-6 + -2w) = w + -6 + 3(4w + 6) Reorder the terms: -6 + -2w = w + -6 + 3(6 + 4w) -6 + -2w = w + -6 + (6 * 3 + 4w * 3) -6 + -2w = w + -6 + (18 + 12w) Reorder the terms: -6 + -2w = -6 + 18 + w + 12w Combine like terms: -6 + 18 = 12 -6 + -2w = 12 + w + 12w Combine like terms: w + 12w = 13w -6 + -2w = 12 + 13w Solving -6 + -2w = 12 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -6 + -2w + -13w = 12 + 13w + -13w Combine like terms: -2w + -13w = -15w -6 + -15w = 12 + 13w + -13w Combine like terms: 13w + -13w = 0 -6 + -15w = 12 + 0 -6 + -15w = 12 Add '6' to each side of the equation. -6 + 6 + -15w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -15w = 12 + 6 -15w = 12 + 6 Combine like terms: 12 + 6 = 18 -15w = 18 Divide each side by '-15'. w = -1.2 Simplifying w = -1.2
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