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Simplifying -2(w + -1) + -1(8 + -7w) = 4w Reorder the terms: -2(-1 + w) + -1(8 + -7w) = 4w (-1 * -2 + w * -2) + -1(8 + -7w) = 4w (2 + -2w) + -1(8 + -7w) = 4w 2 + -2w + (8 * -1 + -7w * -1) = 4w 2 + -2w + (-8 + 7w) = 4w Reorder the terms: 2 + -8 + -2w + 7w = 4w Combine like terms: 2 + -8 = -6 -6 + -2w + 7w = 4w Combine like terms: -2w + 7w = 5w -6 + 5w = 4w Solving -6 + 5w = 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 + 5w + -4w = 4w + -4w Combine like terms: 5w + -4w = 1w -6 + 1w = 4w + -4w Combine like terms: 4w + -4w = 0 -6 + 1w = 0 Add '6' to each side of the equation. -6 + 6 + 1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1w = 0 + 6 1w = 0 + 6 Combine like terms: 0 + 6 = 6 1w = 6 Divide each side by '1'. w = 6 Simplifying w = 6
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