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Simplifying 4(w + -2) = 8(w + 4) Reorder the terms: 4(-2 + w) = 8(w + 4) (-2 * 4 + w * 4) = 8(w + 4) (-8 + 4w) = 8(w + 4) Reorder the terms: -8 + 4w = 8(4 + w) -8 + 4w = (4 * 8 + w * 8) -8 + 4w = (32 + 8w) Solving -8 + 4w = 32 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -8 + 4w + -8w = 32 + 8w + -8w Combine like terms: 4w + -8w = -4w -8 + -4w = 32 + 8w + -8w Combine like terms: 8w + -8w = 0 -8 + -4w = 32 + 0 -8 + -4w = 32 Add '8' to each side of the equation. -8 + 8 + -4w = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -4w = 32 + 8 -4w = 32 + 8 Combine like terms: 32 + 8 = 40 -4w = 40 Divide each side by '-4'. w = -10 Simplifying w = -10
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