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Simplifying 8w + -1(3w + 2) = 3w + -10 Reorder the terms: 8w + -1(2 + 3w) = 3w + -10 8w + (2 * -1 + 3w * -1) = 3w + -10 8w + (-2 + -3w) = 3w + -10 Reorder the terms: -2 + 8w + -3w = 3w + -10 Combine like terms: 8w + -3w = 5w -2 + 5w = 3w + -10 Reorder the terms: -2 + 5w = -10 + 3w Solving -2 + 5w = -10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -2 + 5w + -3w = -10 + 3w + -3w Combine like terms: 5w + -3w = 2w -2 + 2w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + 2w = -10 + 0 -2 + 2w = -10 Add '2' to each side of the equation. -2 + 2 + 2w = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = -10 + 2 2w = -10 + 2 Combine like terms: -10 + 2 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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