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