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Simplifying 3(2w + -4) + w = 3w + -8 Reorder the terms: 3(-4 + 2w) + w = 3w + -8 (-4 * 3 + 2w * 3) + w = 3w + -8 (-12 + 6w) + w = 3w + -8 Combine like terms: 6w + w = 7w -12 + 7w = 3w + -8 Reorder the terms: -12 + 7w = -8 + 3w Solving -12 + 7w = -8 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -12 + 7w + -3w = -8 + 3w + -3w Combine like terms: 7w + -3w = 4w -12 + 4w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + 4w = -8 + 0 -12 + 4w = -8 Add '12' to each side of the equation. -12 + 12 + 4w = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = -8 + 12 4w = -8 + 12 Combine like terms: -8 + 12 = 4 4w = 4 Divide each side by '4'. w = 1 Simplifying w = 1
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