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Simplifying 5(w + -2) + -8 = -4(-5w + 2) + -7w Reorder the terms: 5(-2 + w) + -8 = -4(-5w + 2) + -7w (-2 * 5 + w * 5) + -8 = -4(-5w + 2) + -7w (-10 + 5w) + -8 = -4(-5w + 2) + -7w Reorder the terms: -10 + -8 + 5w = -4(-5w + 2) + -7w Combine like terms: -10 + -8 = -18 -18 + 5w = -4(-5w + 2) + -7w Reorder the terms: -18 + 5w = -4(2 + -5w) + -7w -18 + 5w = (2 * -4 + -5w * -4) + -7w -18 + 5w = (-8 + 20w) + -7w Combine like terms: 20w + -7w = 13w -18 + 5w = -8 + 13w Solving -18 + 5w = -8 + 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. -18 + 5w + -13w = -8 + 13w + -13w Combine like terms: 5w + -13w = -8w -18 + -8w = -8 + 13w + -13w Combine like terms: 13w + -13w = 0 -18 + -8w = -8 + 0 -18 + -8w = -8 Add '18' to each side of the equation. -18 + 18 + -8w = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -8w = -8 + 18 -8w = -8 + 18 Combine like terms: -8 + 18 = 10 -8w = 10 Divide each side by '-8'. w = -1.25 Simplifying w = -1.25
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