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Simplifying -4(w + -9) + -1(8 + 2w) = -7w Reorder the terms: -4(-9 + w) + -1(8 + 2w) = -7w (-9 * -4 + w * -4) + -1(8 + 2w) = -7w (36 + -4w) + -1(8 + 2w) = -7w 36 + -4w + (8 * -1 + 2w * -1) = -7w 36 + -4w + (-8 + -2w) = -7w Reorder the terms: 36 + -8 + -4w + -2w = -7w Combine like terms: 36 + -8 = 28 28 + -4w + -2w = -7w Combine like terms: -4w + -2w = -6w 28 + -6w = -7w Solving 28 + -6w = -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 28 + -6w + 7w = -7w + 7w Combine like terms: -6w + 7w = 1w 28 + 1w = -7w + 7w Combine like terms: -7w + 7w = 0 28 + 1w = 0 Add '-28' to each side of the equation. 28 + -28 + 1w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 1w = 0 + -28 1w = 0 + -28 Combine like terms: 0 + -28 = -28 1w = -28 Divide each side by '1'. w = -28 Simplifying w = -28
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