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Simplifying 4(w + -5) + -2 = -4(7w + 3) + -9w Reorder the terms: 4(-5 + w) + -2 = -4(7w + 3) + -9w (-5 * 4 + w * 4) + -2 = -4(7w + 3) + -9w (-20 + 4w) + -2 = -4(7w + 3) + -9w Reorder the terms: -20 + -2 + 4w = -4(7w + 3) + -9w Combine like terms: -20 + -2 = -22 -22 + 4w = -4(7w + 3) + -9w Reorder the terms: -22 + 4w = -4(3 + 7w) + -9w -22 + 4w = (3 * -4 + 7w * -4) + -9w -22 + 4w = (-12 + -28w) + -9w Combine like terms: -28w + -9w = -37w -22 + 4w = -12 + -37w Solving -22 + 4w = -12 + -37w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '37w' to each side of the equation. -22 + 4w + 37w = -12 + -37w + 37w Combine like terms: 4w + 37w = 41w -22 + 41w = -12 + -37w + 37w Combine like terms: -37w + 37w = 0 -22 + 41w = -12 + 0 -22 + 41w = -12 Add '22' to each side of the equation. -22 + 22 + 41w = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 41w = -12 + 22 41w = -12 + 22 Combine like terms: -12 + 22 = 10 41w = 10 Divide each side by '41'. w = 0.243902439 Simplifying w = 0.243902439
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