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Simplifying 8w + -1(6w + -5) = 1 Reorder the terms: 8w + -1(-5 + 6w) = 1 8w + (-5 * -1 + 6w * -1) = 1 8w + (5 + -6w) = 1 Reorder the terms: 5 + 8w + -6w = 1 Combine like terms: 8w + -6w = 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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