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Simplifying 6w = 5 + -2(w + 3) Reorder the terms: 6w = 5 + -2(3 + w) 6w = 5 + (3 * -2 + w * -2) 6w = 5 + (-6 + -2w) Combine like terms: 5 + -6 = -1 6w = -1 + -2w Solving 6w = -1 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 6w + 2w = -1 + -2w + 2w Combine like terms: 6w + 2w = 8w 8w = -1 + -2w + 2w Combine like terms: -2w + 2w = 0 8w = -1 + 0 8w = -1 Divide each side by '8'. w = -0.125 Simplifying w = -0.125
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