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Simplifying 5(w + -7) + -2 = -5(-4w + 9) + -5w Reorder the terms: 5(-7 + w) + -2 = -5(-4w + 9) + -5w (-7 * 5 + w * 5) + -2 = -5(-4w + 9) + -5w (-35 + 5w) + -2 = -5(-4w + 9) + -5w Reorder the terms: -35 + -2 + 5w = -5(-4w + 9) + -5w Combine like terms: -35 + -2 = -37 -37 + 5w = -5(-4w + 9) + -5w Reorder the terms: -37 + 5w = -5(9 + -4w) + -5w -37 + 5w = (9 * -5 + -4w * -5) + -5w -37 + 5w = (-45 + 20w) + -5w Combine like terms: 20w + -5w = 15w -37 + 5w = -45 + 15w Solving -37 + 5w = -45 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -37 + 5w + -15w = -45 + 15w + -15w Combine like terms: 5w + -15w = -10w -37 + -10w = -45 + 15w + -15w Combine like terms: 15w + -15w = 0 -37 + -10w = -45 + 0 -37 + -10w = -45 Add '37' to each side of the equation. -37 + 37 + -10w = -45 + 37 Combine like terms: -37 + 37 = 0 0 + -10w = -45 + 37 -10w = -45 + 37 Combine like terms: -45 + 37 = -8 -10w = -8 Divide each side by '-10'. w = 0.8 Simplifying w = 0.8
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