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Simplifying 7(w + -5) + -8 = -5(-4w + 7) + -1w Reorder the terms: 7(-5 + w) + -8 = -5(-4w + 7) + -1w (-5 * 7 + w * 7) + -8 = -5(-4w + 7) + -1w (-35 + 7w) + -8 = -5(-4w + 7) + -1w Reorder the terms: -35 + -8 + 7w = -5(-4w + 7) + -1w Combine like terms: -35 + -8 = -43 -43 + 7w = -5(-4w + 7) + -1w Reorder the terms: -43 + 7w = -5(7 + -4w) + -1w -43 + 7w = (7 * -5 + -4w * -5) + -1w -43 + 7w = (-35 + 20w) + -1w Combine like terms: 20w + -1w = 19w -43 + 7w = -35 + 19w Solving -43 + 7w = -35 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -43 + 7w + -19w = -35 + 19w + -19w Combine like terms: 7w + -19w = -12w -43 + -12w = -35 + 19w + -19w Combine like terms: 19w + -19w = 0 -43 + -12w = -35 + 0 -43 + -12w = -35 Add '43' to each side of the equation. -43 + 43 + -12w = -35 + 43 Combine like terms: -43 + 43 = 0 0 + -12w = -35 + 43 -12w = -35 + 43 Combine like terms: -35 + 43 = 8 -12w = 8 Divide each side by '-12'. w = -0.6666666667 Simplifying w = -0.6666666667
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