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Simplifying 4 = 2w + 6(w + -2) Reorder the terms: 4 = 2w + 6(-2 + w) 4 = 2w + (-2 * 6 + w * 6) 4 = 2w + (-12 + 6w) Reorder the terms: 4 = -12 + 2w + 6w Combine like terms: 2w + 6w = 8w 4 = -12 + 8w Solving 4 = -12 + 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. 4 + -8w = -12 + 8w + -8w Combine like terms: 8w + -8w = 0 4 + -8w = -12 + 0 4 + -8w = -12 Add '-4' to each side of the equation. 4 + -4 + -8w = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -8w = -12 + -4 -8w = -12 + -4 Combine like terms: -12 + -4 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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