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Simplifying 2(4w + -3) + -8 = 4 + 2w Reorder the terms: 2(-3 + 4w) + -8 = 4 + 2w (-3 * 2 + 4w * 2) + -8 = 4 + 2w (-6 + 8w) + -8 = 4 + 2w Reorder the terms: -6 + -8 + 8w = 4 + 2w Combine like terms: -6 + -8 = -14 -14 + 8w = 4 + 2w Solving -14 + 8w = 4 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -14 + 8w + -2w = 4 + 2w + -2w Combine like terms: 8w + -2w = 6w -14 + 6w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 -14 + 6w = 4 + 0 -14 + 6w = 4 Add '14' to each side of the equation. -14 + 14 + 6w = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6w = 4 + 14 6w = 4 + 14 Combine like terms: 4 + 14 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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