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Simplifying -4(-5w + 2) + -3w = 2(w + -6) + -8 Reorder the terms: -4(2 + -5w) + -3w = 2(w + -6) + -8 (2 * -4 + -5w * -4) + -3w = 2(w + -6) + -8 (-8 + 20w) + -3w = 2(w + -6) + -8 Combine like terms: 20w + -3w = 17w -8 + 17w = 2(w + -6) + -8 Reorder the terms: -8 + 17w = 2(-6 + w) + -8 -8 + 17w = (-6 * 2 + w * 2) + -8 -8 + 17w = (-12 + 2w) + -8 Reorder the terms: -8 + 17w = -12 + -8 + 2w Combine like terms: -12 + -8 = -20 -8 + 17w = -20 + 2w Solving -8 + 17w = -20 + 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. -8 + 17w + -2w = -20 + 2w + -2w Combine like terms: 17w + -2w = 15w -8 + 15w = -20 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + 15w = -20 + 0 -8 + 15w = -20 Add '8' to each side of the equation. -8 + 8 + 15w = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 15w = -20 + 8 15w = -20 + 8 Combine like terms: -20 + 8 = -12 15w = -12 Divide each side by '15'. w = -0.8 Simplifying w = -0.8
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