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Simplifying -6(w + -2) = 5(3 + -1w) Reorder the terms: -6(-2 + w) = 5(3 + -1w) (-2 * -6 + w * -6) = 5(3 + -1w) (12 + -6w) = 5(3 + -1w) 12 + -6w = (3 * 5 + -1w * 5) 12 + -6w = (15 + -5w) Solving 12 + -6w = 15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 12 + -6w + 5w = 15 + -5w + 5w Combine like terms: -6w + 5w = -1w 12 + -1w = 15 + -5w + 5w Combine like terms: -5w + 5w = 0 12 + -1w = 15 + 0 12 + -1w = 15 Add '-12' to each side of the equation. 12 + -12 + -1w = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 15 + -12 -1w = 15 + -12 Combine like terms: 15 + -12 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3
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