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Simplifying 5(w + 1) = 6(w + -1) Reorder the terms: 5(1 + w) = 6(w + -1) (1 * 5 + w * 5) = 6(w + -1) (5 + 5w) = 6(w + -1) Reorder the terms: 5 + 5w = 6(-1 + w) 5 + 5w = (-1 * 6 + w * 6) 5 + 5w = (-6 + 6w) Solving 5 + 5w = -6 + 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. 5 + 5w + -6w = -6 + 6w + -6w Combine like terms: 5w + -6w = -1w 5 + -1w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 5 + -1w = -6 + 0 5 + -1w = -6 Add '-5' to each side of the equation. 5 + -5 + -1w = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = -6 + -5 -1w = -6 + -5 Combine like terms: -6 + -5 = -11 -1w = -11 Divide each side by '-1'. w = 11 Simplifying w = 11
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