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