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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 = 66 66 + -8w + -2w = 0 Combine like terms: -8w + -2w = -10w 66 + -10w = 0 Solving 66 + -10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -10w = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -10w = 0 + -66 -10w = 0 + -66 Combine like terms: 0 + -66 = -66 -10w = -66 Divide each side by '-10'. w = 6.6 Simplifying w = 6.6
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