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Simplifying (54w + 18) + 2(5 + -7w) = 0 Reorder the terms: (18 + 54w) + 2(5 + -7w) = 0 Remove parenthesis around (18 + 54w) 18 + 54w + 2(5 + -7w) = 0 18 + 54w + (5 * 2 + -7w * 2) = 0 18 + 54w + (10 + -14w) = 0 Reorder the terms: 18 + 10 + 54w + -14w = 0 Combine like terms: 18 + 10 = 28 28 + 54w + -14w = 0 Combine like terms: 54w + -14w = 40w 28 + 40w = 0 Solving 28 + 40w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 40w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 40w = 0 + -28 40w = 0 + -28 Combine like terms: 0 + -28 = -28 40w = -28 Divide each side by '40'. w = -0.7 Simplifying w = -0.7
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