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Simplifying 5(1 + -2w) + 8w = 1 (1 * 5 + -2w * 5) + 8w = 1 (5 + -10w) + 8w = 1 Combine like terms: -10w + 8w = -2w 5 + -2w = 1 Solving 5 + -2w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2w = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 1 + -5 -2w = 1 + -5 Combine like terms: 1 + -5 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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