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Simplifying -4(-5w + 6) + -8w = 2(w + -4) + -8 Reorder the terms: -4(6 + -5w) + -8w = 2(w + -4) + -8 (6 * -4 + -5w * -4) + -8w = 2(w + -4) + -8 (-24 + 20w) + -8w = 2(w + -4) + -8 Combine like terms: 20w + -8w = 12w -24 + 12w = 2(w + -4) + -8 Reorder the terms: -24 + 12w = 2(-4 + w) + -8 -24 + 12w = (-4 * 2 + w * 2) + -8 -24 + 12w = (-8 + 2w) + -8 Reorder the terms: -24 + 12w = -8 + -8 + 2w Combine like terms: -8 + -8 = -16 -24 + 12w = -16 + 2w Solving -24 + 12w = -16 + 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 + 12w + -2w = -16 + 2w + -2w Combine like terms: 12w + -2w = 10w -24 + 10w = -16 + 2w + -2w Combine like terms: 2w + -2w = 0 -24 + 10w = -16 + 0 -24 + 10w = -16 Add '24' to each side of the equation. -24 + 24 + 10w = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 10w = -16 + 24 10w = -16 + 24 Combine like terms: -16 + 24 = 8 10w = 8 Divide each side by '10'. w = 0.8 Simplifying w = 0.8
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