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Simplifying 456 = 3w + 6w + -4 Reorder the terms: 456 = -4 + 3w + 6w Combine like terms: 3w + 6w = 9w 456 = -4 + 9w Solving 456 = -4 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 456 + -9w = -4 + 9w + -9w Combine like terms: 9w + -9w = 0 456 + -9w = -4 + 0 456 + -9w = -4 Add '-456' to each side of the equation. 456 + -456 + -9w = -4 + -456 Combine like terms: 456 + -456 = 0 0 + -9w = -4 + -456 -9w = -4 + -456 Combine like terms: -4 + -456 = -460 -9w = -460 Divide each side by '-9'. w = 51.11111111 Simplifying w = 51.11111111
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