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Simplifying -8(w + -6) + -2(w + 9) = 0 Reorder the terms: -8(-6 + w) + -2(w + 9) = 0 (-6 * -8 + w * -8) + -2(w + 9) = 0 (48 + -8w) + -2(w + 9) = 0 Reorder the terms: 48 + -8w + -2(9 + w) = 0 48 + -8w + (9 * -2 + w * -2) = 0 48 + -8w + (-18 + -2w) = 0 Reorder the terms: 48 + -18 + -8w + -2w = 0 Combine like terms: 48 + -18 = 30 30 + -8w + -2w = 0 Combine like terms: -8w + -2w = -10w 30 + -10w = 0 Solving 30 + -10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -10w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10w = 0 + -30 -10w = 0 + -30 Combine like terms: 0 + -30 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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