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Simplifying 4(2w + -1) = 2(3w + 2) Reorder the terms: 4(-1 + 2w) = 2(3w + 2) (-1 * 4 + 2w * 4) = 2(3w + 2) (-4 + 8w) = 2(3w + 2) Reorder the terms: -4 + 8w = 2(2 + 3w) -4 + 8w = (2 * 2 + 3w * 2) -4 + 8w = (4 + 6w) Solving -4 + 8w = 4 + 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. -4 + 8w + -6w = 4 + 6w + -6w Combine like terms: 8w + -6w = 2w -4 + 2w = 4 + 6w + -6w Combine like terms: 6w + -6w = 0 -4 + 2w = 4 + 0 -4 + 2w = 4 Add '4' to each side of the equation. -4 + 4 + 2w = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = 4 + 4 2w = 4 + 4 Combine like terms: 4 + 4 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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