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Simplifying 2w + -3(w + -4) + -5(w + -6) = 0 Reorder the terms: 2w + -3(-4 + w) + -5(w + -6) = 0 2w + (-4 * -3 + w * -3) + -5(w + -6) = 0 2w + (12 + -3w) + -5(w + -6) = 0 Reorder the terms: 2w + 12 + -3w + -5(-6 + w) = 0 2w + 12 + -3w + (-6 * -5 + w * -5) = 0 2w + 12 + -3w + (30 + -5w) = 0 Reorder the terms: 12 + 30 + 2w + -3w + -5w = 0 Combine like terms: 12 + 30 = 42 42 + 2w + -3w + -5w = 0 Combine like terms: 2w + -3w = -1w 42 + -1w + -5w = 0 Combine like terms: -1w + -5w = -6w 42 + -6w = 0 Solving 42 + -6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -6w = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -6w = 0 + -42 -6w = 0 + -42 Combine like terms: 0 + -42 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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