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Simplifying (W + 5) + (w + -15) = w + 37 Reorder the terms: (5 + W) + (w + -15) = w + 37 Remove parenthesis around (5 + W) 5 + W + (w + -15) = w + 37 Reorder the terms: 5 + W + (-15 + w) = w + 37 Remove parenthesis around (-15 + w) 5 + W + -15 + w = w + 37 Reorder the terms: 5 + -15 + W + w = w + 37 Combine like terms: 5 + -15 = -10 -10 + W + w = w + 37 Reorder the terms: -10 + W + w = 37 + w Add '-1w' to each side of the equation. -10 + W + w + -1w = 37 + w + -1w Combine like terms: w + -1w = 0 -10 + W + 0 = 37 + w + -1w -10 + W = 37 + w + -1w Combine like terms: w + -1w = 0 -10 + W = 37 + 0 -10 + W = 37 Solving -10 + W = 37 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + W = 37 + 10 Combine like terms: -10 + 10 = 0 0 + W = 37 + 10 W = 37 + 10 Combine like terms: 37 + 10 = 47 W = 47 Simplifying W = 47
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