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Simplifying 8(w + 8) + -1(2 + 6w) = w Reorder the terms: 8(8 + w) + -1(2 + 6w) = w (8 * 8 + w * 8) + -1(2 + 6w) = w (64 + 8w) + -1(2 + 6w) = w 64 + 8w + (2 * -1 + 6w * -1) = w 64 + 8w + (-2 + -6w) = w Reorder the terms: 64 + -2 + 8w + -6w = w Combine like terms: 64 + -2 = 62 62 + 8w + -6w = w Combine like terms: 8w + -6w = 2w 62 + 2w = w Solving 62 + 2w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 62 + 2w + -1w = w + -1w Combine like terms: 2w + -1w = 1w 62 + 1w = w + -1w Combine like terms: w + -1w = 0 62 + 1w = 0 Add '-62' to each side of the equation. 62 + -62 + 1w = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 1w = 0 + -62 1w = 0 + -62 Combine like terms: 0 + -62 = -62 1w = -62 Divide each side by '1'. w = -62 Simplifying w = -62
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