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Simplifying 50 = 2(3w + w) + 1 Combine like terms: 3w + w = 4w 50 = 2(4w) + 1 Remove parenthesis around (4w) 50 = 2 * 4w + 1 Multiply 2 * 4 50 = 8w + 1 Reorder the terms: 50 = 1 + 8w Solving 50 = 1 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 50 + -8w = 1 + 8w + -8w Combine like terms: 8w + -8w = 0 50 + -8w = 1 + 0 50 + -8w = 1 Add '-50' to each side of the equation. 50 + -50 + -8w = 1 + -50 Combine like terms: 50 + -50 = 0 0 + -8w = 1 + -50 -8w = 1 + -50 Combine like terms: 1 + -50 = -49 -8w = -49 Divide each side by '-8'. w = 6.125 Simplifying w = 6.125
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