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Simplifying 1 = 4(w + -8) + 7w Reorder the terms: 1 = 4(-8 + w) + 7w 1 = (-8 * 4 + w * 4) + 7w 1 = (-32 + 4w) + 7w Combine like terms: 4w + 7w = 11w 1 = -32 + 11w Solving 1 = -32 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 1 + -11w = -32 + 11w + -11w Combine like terms: 11w + -11w = 0 1 + -11w = -32 + 0 1 + -11w = -32 Add '-1' to each side of the equation. 1 + -1 + -11w = -32 + -1 Combine like terms: 1 + -1 = 0 0 + -11w = -32 + -1 -11w = -32 + -1 Combine like terms: -32 + -1 = -33 -11w = -33 Divide each side by '-11'. w = 3 Simplifying w = 3
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