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Simplifying -4(-5w + 6) + -3w = 2(w + -6) + -6 Reorder the terms: -4(6 + -5w) + -3w = 2(w + -6) + -6 (6 * -4 + -5w * -4) + -3w = 2(w + -6) + -6 (-24 + 20w) + -3w = 2(w + -6) + -6 Combine like terms: 20w + -3w = 17w -24 + 17w = 2(w + -6) + -6 Reorder the terms: -24 + 17w = 2(-6 + w) + -6 -24 + 17w = (-6 * 2 + w * 2) + -6 -24 + 17w = (-12 + 2w) + -6 Reorder the terms: -24 + 17w = -12 + -6 + 2w Combine like terms: -12 + -6 = -18 -24 + 17w = -18 + 2w Solving -24 + 17w = -18 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -24 + 17w + -2w = -18 + 2w + -2w Combine like terms: 17w + -2w = 15w -24 + 15w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 -24 + 15w = -18 + 0 -24 + 15w = -18 Add '24' to each side of the equation. -24 + 24 + 15w = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 15w = -18 + 24 15w = -18 + 24 Combine like terms: -18 + 24 = 6 15w = 6 Divide each side by '15'. w = 0.4 Simplifying w = 0.4
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