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Simplifying 456 = 2(4w + -7) + 2w Reorder the terms: 456 = 2(-7 + 4w) + 2w 456 = (-7 * 2 + 4w * 2) + 2w 456 = (-14 + 8w) + 2w Combine like terms: 8w + 2w = 10w 456 = -14 + 10w Solving 456 = -14 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 456 + -10w = -14 + 10w + -10w Combine like terms: 10w + -10w = 0 456 + -10w = -14 + 0 456 + -10w = -14 Add '-456' to each side of the equation. 456 + -456 + -10w = -14 + -456 Combine like terms: 456 + -456 = 0 0 + -10w = -14 + -456 -10w = -14 + -456 Combine like terms: -14 + -456 = -470 -10w = -470 Divide each side by '-10'. w = 47 Simplifying w = 47
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