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Simplifying 3[w + -6] + -8w = 32 Reorder the terms: 3[-6 + w] + -8w = 32 [-6 * 3 + w * 3] + -8w = 32 [-18 + 3w] + -8w = 32 Combine like terms: 3w + -8w = -5w -18 + -5w = 32 Solving -18 + -5w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5w = 32 + 18 Combine like terms: -18 + 18 = 0 0 + -5w = 32 + 18 -5w = 32 + 18 Combine like terms: 32 + 18 = 50 -5w = 50 Divide each side by '-5'. w = -10 Simplifying w = -10
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