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Simplifying -5(-4w + 2) + -8w = 4(w + -6) + -4 Reorder the terms: -5(2 + -4w) + -8w = 4(w + -6) + -4 (2 * -5 + -4w * -5) + -8w = 4(w + -6) + -4 (-10 + 20w) + -8w = 4(w + -6) + -4 Combine like terms: 20w + -8w = 12w -10 + 12w = 4(w + -6) + -4 Reorder the terms: -10 + 12w = 4(-6 + w) + -4 -10 + 12w = (-6 * 4 + w * 4) + -4 -10 + 12w = (-24 + 4w) + -4 Reorder the terms: -10 + 12w = -24 + -4 + 4w Combine like terms: -24 + -4 = -28 -10 + 12w = -28 + 4w Solving -10 + 12w = -28 + 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. -10 + 12w + -4w = -28 + 4w + -4w Combine like terms: 12w + -4w = 8w -10 + 8w = -28 + 4w + -4w Combine like terms: 4w + -4w = 0 -10 + 8w = -28 + 0 -10 + 8w = -28 Add '10' to each side of the equation. -10 + 10 + 8w = -28 + 10 Combine like terms: -10 + 10 = 0 0 + 8w = -28 + 10 8w = -28 + 10 Combine like terms: -28 + 10 = -18 8w = -18 Divide each side by '8'. w = -2.25 Simplifying w = -2.25
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