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Simplifying 5(w + -4) + -2 = -4(-5w + 6) + -7w Reorder the terms: 5(-4 + w) + -2 = -4(-5w + 6) + -7w (-4 * 5 + w * 5) + -2 = -4(-5w + 6) + -7w (-20 + 5w) + -2 = -4(-5w + 6) + -7w Reorder the terms: -20 + -2 + 5w = -4(-5w + 6) + -7w Combine like terms: -20 + -2 = -22 -22 + 5w = -4(-5w + 6) + -7w Reorder the terms: -22 + 5w = -4(6 + -5w) + -7w -22 + 5w = (6 * -4 + -5w * -4) + -7w -22 + 5w = (-24 + 20w) + -7w Combine like terms: 20w + -7w = 13w -22 + 5w = -24 + 13w Solving -22 + 5w = -24 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -22 + 5w + -13w = -24 + 13w + -13w Combine like terms: 5w + -13w = -8w -22 + -8w = -24 + 13w + -13w Combine like terms: 13w + -13w = 0 -22 + -8w = -24 + 0 -22 + -8w = -24 Add '22' to each side of the equation. -22 + 22 + -8w = -24 + 22 Combine like terms: -22 + 22 = 0 0 + -8w = -24 + 22 -8w = -24 + 22 Combine like terms: -24 + 22 = -2 -8w = -2 Divide each side by '-8'. w = 0.25 Simplifying w = 0.25
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