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Simplifying 6(2w + 5) + 9(W + 2) = 0 Reorder the terms: 6(5 + 2w) + 9(W + 2) = 0 (5 * 6 + 2w * 6) + 9(W + 2) = 0 (30 + 12w) + 9(W + 2) = 0 Reorder the terms: 30 + 12w + 9(2 + W) = 0 30 + 12w + (2 * 9 + W * 9) = 0 30 + 12w + (18 + 9W) = 0 Reorder the terms: 30 + 18 + 9W + 12w = 0 Combine like terms: 30 + 18 = 48 48 + 9W + 12w = 0 Solving 48 + 9W + 12w = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 9W + -48 + 12w = 0 + -48 Reorder the terms: 48 + -48 + 9W + 12w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 9W + 12w = 0 + -48 9W + 12w = 0 + -48 Combine like terms: 0 + -48 = -48 9W + 12w = -48 Add '-12w' to each side of the equation. 9W + 12w + -12w = -48 + -12w Combine like terms: 12w + -12w = 0 9W + 0 = -48 + -12w 9W = -48 + -12w Divide each side by '9'. W = -5.333333333 + -1.333333333w Simplifying W = -5.333333333 + -1.333333333w
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