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Simplifying 8(w + 3) + -1(8 + 6w) = w Reorder the terms: 8(3 + w) + -1(8 + 6w) = w (3 * 8 + w * 8) + -1(8 + 6w) = w (24 + 8w) + -1(8 + 6w) = w 24 + 8w + (8 * -1 + 6w * -1) = w 24 + 8w + (-8 + -6w) = w Reorder the terms: 24 + -8 + 8w + -6w = w Combine like terms: 24 + -8 = 16 16 + 8w + -6w = w Combine like terms: 8w + -6w = 2w 16 + 2w = w Solving 16 + 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. 16 + 2w + -1w = w + -1w Combine like terms: 2w + -1w = 1w 16 + 1w = w + -1w Combine like terms: w + -1w = 0 16 + 1w = 0 Add '-16' to each side of the equation. 16 + -16 + 1w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1w = 0 + -16 1w = 0 + -16 Combine like terms: 0 + -16 = -16 1w = -16 Divide each side by '1'. w = -16 Simplifying w = -16
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