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Simplifying 4(w + -4) + -5 = -5(3w + 3) + -2w Reorder the terms: 4(-4 + w) + -5 = -5(3w + 3) + -2w (-4 * 4 + w * 4) + -5 = -5(3w + 3) + -2w (-16 + 4w) + -5 = -5(3w + 3) + -2w Reorder the terms: -16 + -5 + 4w = -5(3w + 3) + -2w Combine like terms: -16 + -5 = -21 -21 + 4w = -5(3w + 3) + -2w Reorder the terms: -21 + 4w = -5(3 + 3w) + -2w -21 + 4w = (3 * -5 + 3w * -5) + -2w -21 + 4w = (-15 + -15w) + -2w Combine like terms: -15w + -2w = -17w -21 + 4w = -15 + -17w Solving -21 + 4w = -15 + -17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17w' to each side of the equation. -21 + 4w + 17w = -15 + -17w + 17w Combine like terms: 4w + 17w = 21w -21 + 21w = -15 + -17w + 17w Combine like terms: -17w + 17w = 0 -21 + 21w = -15 + 0 -21 + 21w = -15 Add '21' to each side of the equation. -21 + 21 + 21w = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 21w = -15 + 21 21w = -15 + 21 Combine like terms: -15 + 21 = 6 21w = 6 Divide each side by '21'. w = 0.2857142857 Simplifying w = 0.2857142857
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