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Simplifying 7(5 + w) = 6(w + -7) (5 * 7 + w * 7) = 6(w + -7) (35 + 7w) = 6(w + -7) Reorder the terms: 35 + 7w = 6(-7 + w) 35 + 7w = (-7 * 6 + w * 6) 35 + 7w = (-42 + 6w) Solving 35 + 7w = -42 + 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. 35 + 7w + -6w = -42 + 6w + -6w Combine like terms: 7w + -6w = 1w 35 + 1w = -42 + 6w + -6w Combine like terms: 6w + -6w = 0 35 + 1w = -42 + 0 35 + 1w = -42 Add '-35' to each side of the equation. 35 + -35 + 1w = -42 + -35 Combine like terms: 35 + -35 = 0 0 + 1w = -42 + -35 1w = -42 + -35 Combine like terms: -42 + -35 = -77 1w = -77 Divide each side by '1'. w = -77 Simplifying w = -77
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