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Simplifying 4(w + -9) + -25 = -3(w + -2) + -5 + -4w Reorder the terms: 4(-9 + w) + -25 = -3(w + -2) + -5 + -4w (-9 * 4 + w * 4) + -25 = -3(w + -2) + -5 + -4w (-36 + 4w) + -25 = -3(w + -2) + -5 + -4w Reorder the terms: -36 + -25 + 4w = -3(w + -2) + -5 + -4w Combine like terms: -36 + -25 = -61 -61 + 4w = -3(w + -2) + -5 + -4w Reorder the terms: -61 + 4w = -3(-2 + w) + -5 + -4w -61 + 4w = (-2 * -3 + w * -3) + -5 + -4w -61 + 4w = (6 + -3w) + -5 + -4w Reorder the terms: -61 + 4w = 6 + -5 + -3w + -4w Combine like terms: 6 + -5 = 1 -61 + 4w = 1 + -3w + -4w Combine like terms: -3w + -4w = -7w -61 + 4w = 1 + -7w Solving -61 + 4w = 1 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -61 + 4w + 7w = 1 + -7w + 7w Combine like terms: 4w + 7w = 11w -61 + 11w = 1 + -7w + 7w Combine like terms: -7w + 7w = 0 -61 + 11w = 1 + 0 -61 + 11w = 1 Add '61' to each side of the equation. -61 + 61 + 11w = 1 + 61 Combine like terms: -61 + 61 = 0 0 + 11w = 1 + 61 11w = 1 + 61 Combine like terms: 1 + 61 = 62 11w = 62 Divide each side by '11'. w = 5.636363636 Simplifying w = 5.636363636
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