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Simplifying 2w + -5 = 3(1 + -2w) Reorder the terms: -5 + 2w = 3(1 + -2w) -5 + 2w = (1 * 3 + -2w * 3) -5 + 2w = (3 + -6w) Solving -5 + 2w = 3 + -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. -5 + 2w + 6w = 3 + -6w + 6w Combine like terms: 2w + 6w = 8w -5 + 8w = 3 + -6w + 6w Combine like terms: -6w + 6w = 0 -5 + 8w = 3 + 0 -5 + 8w = 3 Add '5' to each side of the equation. -5 + 5 + 8w = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 8w = 3 + 5 8w = 3 + 5 Combine like terms: 3 + 5 = 8 8w = 8 Divide each side by '8'. w = 1 Simplifying w = 1
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