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