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Simplifying (25w + 3) + -1(5w + -7) = 50 Reorder the terms: (3 + 25w) + -1(5w + -7) = 50 Remove parenthesis around (3 + 25w) 3 + 25w + -1(5w + -7) = 50 Reorder the terms: 3 + 25w + -1(-7 + 5w) = 50 3 + 25w + (-7 * -1 + 5w * -1) = 50 3 + 25w + (7 + -5w) = 50 Reorder the terms: 3 + 7 + 25w + -5w = 50 Combine like terms: 3 + 7 = 10 10 + 25w + -5w = 50 Combine like terms: 25w + -5w = 20w 10 + 20w = 50 Solving 10 + 20w = 50 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 + 20w = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 20w = 50 + -10 20w = 50 + -10 Combine like terms: 50 + -10 = 40 20w = 40 Divide each side by '20'. w = 2 Simplifying w = 2
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