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Simplifying 5(w + 2) = 6(w + -2) Reorder the terms: 5(2 + w) = 6(w + -2) (2 * 5 + w * 5) = 6(w + -2) (10 + 5w) = 6(w + -2) Reorder the terms: 10 + 5w = 6(-2 + w) 10 + 5w = (-2 * 6 + w * 6) 10 + 5w = (-12 + 6w) Solving 10 + 5w = -12 + 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. 10 + 5w + -6w = -12 + 6w + -6w Combine like terms: 5w + -6w = -1w 10 + -1w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + -1w = -12 + 0 10 + -1w = -12 Add '-10' to each side of the equation. 10 + -10 + -1w = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = -12 + -10 -1w = -12 + -10 Combine like terms: -12 + -10 = -22 -1w = -22 Divide each side by '-1'. w = 22 Simplifying w = 22
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