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Simplifying 13 = 38 + -8(4 + -1w) 13 = 38 + (4 * -8 + -1w * -8) 13 = 38 + (-32 + 8w) Combine like terms: 38 + -32 = 6 13 = 6 + 8w Solving 13 = 6 + 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. 13 + -8w = 6 + 8w + -8w Combine like terms: 8w + -8w = 0 13 + -8w = 6 + 0 13 + -8w = 6 Add '-13' to each side of the equation. 13 + -13 + -8w = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -8w = 6 + -13 -8w = 6 + -13 Combine like terms: 6 + -13 = -7 -8w = -7 Divide each side by '-8'. w = 0.875 Simplifying w = 0.875
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