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Simplifying 5 + -1(3w + -4) = 3(3 + 2w) Reorder the terms: 5 + -1(-4 + 3w) = 3(3 + 2w) 5 + (-4 * -1 + 3w * -1) = 3(3 + 2w) 5 + (4 + -3w) = 3(3 + 2w) Combine like terms: 5 + 4 = 9 9 + -3w = 3(3 + 2w) 9 + -3w = (3 * 3 + 2w * 3) 9 + -3w = (9 + 6w) Add '-9' to each side of the equation. 9 + -9 + -3w = 9 + -9 + 6w Combine like terms: 9 + -9 = 0 0 + -3w = 9 + -9 + 6w -3w = 9 + -9 + 6w Combine like terms: 9 + -9 = 0 -3w = 0 + 6w -3w = 6w Solving -3w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -3w + -6w = 6w + -6w Combine like terms: -3w + -6w = -9w -9w = 6w + -6w Combine like terms: 6w + -6w = 0 -9w = 0 Divide each side by '-9'. w = 0 Simplifying w = 0
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