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Simplifying 3w + -8 = -2(w + -6) Reorder the terms: -8 + 3w = -2(w + -6) Reorder the terms: -8 + 3w = -2(-6 + w) -8 + 3w = (-6 * -2 + w * -2) -8 + 3w = (12 + -2w) Solving -8 + 3w = 12 + -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. -8 + 3w + 2w = 12 + -2w + 2w Combine like terms: 3w + 2w = 5w -8 + 5w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + 5w = 12 + 0 -8 + 5w = 12 Add '8' to each side of the equation. -8 + 8 + 5w = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 5w = 12 + 8 5w = 12 + 8 Combine like terms: 12 + 8 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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