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Simplifying 7(w + 8) + -1(2 + 4w) = 2w Reorder the terms: 7(8 + w) + -1(2 + 4w) = 2w (8 * 7 + w * 7) + -1(2 + 4w) = 2w (56 + 7w) + -1(2 + 4w) = 2w 56 + 7w + (2 * -1 + 4w * -1) = 2w 56 + 7w + (-2 + -4w) = 2w Reorder the terms: 56 + -2 + 7w + -4w = 2w Combine like terms: 56 + -2 = 54 54 + 7w + -4w = 2w Combine like terms: 7w + -4w = 3w 54 + 3w = 2w Solving 54 + 3w = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 54 + 3w + -2w = 2w + -2w Combine like terms: 3w + -2w = 1w 54 + 1w = 2w + -2w Combine like terms: 2w + -2w = 0 54 + 1w = 0 Add '-54' to each side of the equation. 54 + -54 + 1w = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 1w = 0 + -54 1w = 0 + -54 Combine like terms: 0 + -54 = -54 1w = -54 Divide each side by '1'. w = -54 Simplifying w = -54
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