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Simplifying 4(w + -7) + -2 = -4(-2w + 5) + -8w Reorder the terms: 4(-7 + w) + -2 = -4(-2w + 5) + -8w (-7 * 4 + w * 4) + -2 = -4(-2w + 5) + -8w (-28 + 4w) + -2 = -4(-2w + 5) + -8w Reorder the terms: -28 + -2 + 4w = -4(-2w + 5) + -8w Combine like terms: -28 + -2 = -30 -30 + 4w = -4(-2w + 5) + -8w Reorder the terms: -30 + 4w = -4(5 + -2w) + -8w -30 + 4w = (5 * -4 + -2w * -4) + -8w -30 + 4w = (-20 + 8w) + -8w Combine like terms: 8w + -8w = 0 -30 + 4w = -20 + 0 -30 + 4w = -20 Solving -30 + 4w = -20 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 4w = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 4w = -20 + 30 4w = -20 + 30 Combine like terms: -20 + 30 = 10 4w = 10 Divide each side by '4'. w = 2.5 Simplifying w = 2.5
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