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Simplifying -4w + 12 = -8(w + 2) Reorder the terms: 12 + -4w = -8(w + 2) Reorder the terms: 12 + -4w = -8(2 + w) 12 + -4w = (2 * -8 + w * -8) 12 + -4w = (-16 + -8w) Solving 12 + -4w = -16 + -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. 12 + -4w + 8w = -16 + -8w + 8w Combine like terms: -4w + 8w = 4w 12 + 4w = -16 + -8w + 8w Combine like terms: -8w + 8w = 0 12 + 4w = -16 + 0 12 + 4w = -16 Add '-12' to each side of the equation. 12 + -12 + 4w = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = -16 + -12 4w = -16 + -12 Combine like terms: -16 + -12 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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