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Simplifying -2 + -1(-2w + 1) + 6w = 3(2w + 5) Reorder the terms: -2 + -1(1 + -2w) + 6w = 3(2w + 5) -2 + (1 * -1 + -2w * -1) + 6w = 3(2w + 5) -2 + (-1 + 2w) + 6w = 3(2w + 5) Combine like terms: -2 + -1 = -3 -3 + 2w + 6w = 3(2w + 5) Combine like terms: 2w + 6w = 8w -3 + 8w = 3(2w + 5) Reorder the terms: -3 + 8w = 3(5 + 2w) -3 + 8w = (5 * 3 + 2w * 3) -3 + 8w = (15 + 6w) Solving -3 + 8w = 15 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -3 + 8w + -6w = 15 + 6w + -6w Combine like terms: 8w + -6w = 2w -3 + 2w = 15 + 6w + -6w Combine like terms: 6w + -6w = 0 -3 + 2w = 15 + 0 -3 + 2w = 15 Add '3' to each side of the equation. -3 + 3 + 2w = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 15 + 3 2w = 15 + 3 Combine like terms: 15 + 3 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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