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Simplifying 324 = 2w + 2(3w + -2) Reorder the terms: 324 = 2w + 2(-2 + 3w) 324 = 2w + (-2 * 2 + 3w * 2) 324 = 2w + (-4 + 6w) Reorder the terms: 324 = -4 + 2w + 6w Combine like terms: 2w + 6w = 8w 324 = -4 + 8w Solving 324 = -4 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 324 + -8w = -4 + 8w + -8w Combine like terms: 8w + -8w = 0 324 + -8w = -4 + 0 324 + -8w = -4 Add '-324' to each side of the equation. 324 + -324 + -8w = -4 + -324 Combine like terms: 324 + -324 = 0 0 + -8w = -4 + -324 -8w = -4 + -324 Combine like terms: -4 + -324 = -328 -8w = -328 Divide each side by '-8'. w = 41 Simplifying w = 41
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