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Simplifying 4(w + -1) + -2 = -2(-2w + 5) + -8w Reorder the terms: 4(-1 + w) + -2 = -2(-2w + 5) + -8w (-1 * 4 + w * 4) + -2 = -2(-2w + 5) + -8w (-4 + 4w) + -2 = -2(-2w + 5) + -8w Reorder the terms: -4 + -2 + 4w = -2(-2w + 5) + -8w Combine like terms: -4 + -2 = -6 -6 + 4w = -2(-2w + 5) + -8w Reorder the terms: -6 + 4w = -2(5 + -2w) + -8w -6 + 4w = (5 * -2 + -2w * -2) + -8w -6 + 4w = (-10 + 4w) + -8w Combine like terms: 4w + -8w = -4w -6 + 4w = -10 + -4w Solving -6 + 4w = -10 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -6 + 4w + 4w = -10 + -4w + 4w Combine like terms: 4w + 4w = 8w -6 + 8w = -10 + -4w + 4w Combine like terms: -4w + 4w = 0 -6 + 8w = -10 + 0 -6 + 8w = -10 Add '6' to each side of the equation. -6 + 6 + 8w = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 8w = -10 + 6 8w = -10 + 6 Combine like terms: -10 + 6 = -4 8w = -4 Divide each side by '8'. w = -0.5 Simplifying w = -0.5
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