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Simplifying 7(w + 9) + -1(4w + -1) = 2w Reorder the terms: 7(9 + w) + -1(4w + -1) = 2w (9 * 7 + w * 7) + -1(4w + -1) = 2w (63 + 7w) + -1(4w + -1) = 2w Reorder the terms: 63 + 7w + -1(-1 + 4w) = 2w 63 + 7w + (-1 * -1 + 4w * -1) = 2w 63 + 7w + (1 + -4w) = 2w Reorder the terms: 63 + 1 + 7w + -4w = 2w Combine like terms: 63 + 1 = 64 64 + 7w + -4w = 2w Combine like terms: 7w + -4w = 3w 64 + 3w = 2w Solving 64 + 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. 64 + 3w + -2w = 2w + -2w Combine like terms: 3w + -2w = 1w 64 + 1w = 2w + -2w Combine like terms: 2w + -2w = 0 64 + 1w = 0 Add '-64' to each side of the equation. 64 + -64 + 1w = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 1w = 0 + -64 1w = 0 + -64 Combine like terms: 0 + -64 = -64 1w = -64 Divide each side by '1'. w = -64 Simplifying w = -64
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