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Simplifying 5(w + -4) + -1 = -3(-8w + 8) + -4w Reorder the terms: 5(-4 + w) + -1 = -3(-8w + 8) + -4w (-4 * 5 + w * 5) + -1 = -3(-8w + 8) + -4w (-20 + 5w) + -1 = -3(-8w + 8) + -4w Reorder the terms: -20 + -1 + 5w = -3(-8w + 8) + -4w Combine like terms: -20 + -1 = -21 -21 + 5w = -3(-8w + 8) + -4w Reorder the terms: -21 + 5w = -3(8 + -8w) + -4w -21 + 5w = (8 * -3 + -8w * -3) + -4w -21 + 5w = (-24 + 24w) + -4w Combine like terms: 24w + -4w = 20w -21 + 5w = -24 + 20w Solving -21 + 5w = -24 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -21 + 5w + -20w = -24 + 20w + -20w Combine like terms: 5w + -20w = -15w -21 + -15w = -24 + 20w + -20w Combine like terms: 20w + -20w = 0 -21 + -15w = -24 + 0 -21 + -15w = -24 Add '21' to each side of the equation. -21 + 21 + -15w = -24 + 21 Combine like terms: -21 + 21 = 0 0 + -15w = -24 + 21 -15w = -24 + 21 Combine like terms: -24 + 21 = -3 -15w = -3 Divide each side by '-15'. w = 0.2 Simplifying w = 0.2
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