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Simplifying 5(1 + -2w) + 8w = 5w (1 * 5 + -2w * 5) + 8w = 5w (5 + -10w) + 8w = 5w Combine like terms: -10w + 8w = -2w 5 + -2w = 5w Solving 5 + -2w = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 5 + -2w + -5w = 5w + -5w Combine like terms: -2w + -5w = -7w 5 + -7w = 5w + -5w Combine like terms: 5w + -5w = 0 5 + -7w = 0 Add '-5' to each side of the equation. 5 + -5 + -7w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7w = 0 + -5 -7w = 0 + -5 Combine like terms: 0 + -5 = -5 -7w = -5 Divide each side by '-7'. w = 0.7142857143 Simplifying w = 0.7142857143
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