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Simplifying 5(1 + -1w) + 3 = 26 + (-3) (1 * 5 + -1w * 5) + 3 = 26 + (-3) (5 + -5w) + 3 = 26 + (-3) Reorder the terms: 5 + 3 + -5w = 26 + (-3) Combine like terms: 5 + 3 = 8 8 + -5w = 26 + (-3) 8 + -5w = 26 + -3 Combine like terms: 26 + -3 = 23 8 + -5w = 23 Solving 8 + -5w = 23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5w = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -5w = 23 + -8 -5w = 23 + -8 Combine like terms: 23 + -8 = 15 -5w = 15 Divide each side by '-5'. w = -3 Simplifying w = -3
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