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Simplifying 7(w + -5) + -8 = -5(-2w + 9) + -7w Reorder the terms: 7(-5 + w) + -8 = -5(-2w + 9) + -7w (-5 * 7 + w * 7) + -8 = -5(-2w + 9) + -7w (-35 + 7w) + -8 = -5(-2w + 9) + -7w Reorder the terms: -35 + -8 + 7w = -5(-2w + 9) + -7w Combine like terms: -35 + -8 = -43 -43 + 7w = -5(-2w + 9) + -7w Reorder the terms: -43 + 7w = -5(9 + -2w) + -7w -43 + 7w = (9 * -5 + -2w * -5) + -7w -43 + 7w = (-45 + 10w) + -7w Combine like terms: 10w + -7w = 3w -43 + 7w = -45 + 3w Solving -43 + 7w = -45 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -43 + 7w + -3w = -45 + 3w + -3w Combine like terms: 7w + -3w = 4w -43 + 4w = -45 + 3w + -3w Combine like terms: 3w + -3w = 0 -43 + 4w = -45 + 0 -43 + 4w = -45 Add '43' to each side of the equation. -43 + 43 + 4w = -45 + 43 Combine like terms: -43 + 43 = 0 0 + 4w = -45 + 43 4w = -45 + 43 Combine like terms: -45 + 43 = -2 4w = -2 Divide each side by '4'. w = -0.5 Simplifying w = -0.5
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