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Simplifying 3(4w + -6) = 114 Reorder the terms: 3(-6 + 4w) = 114 (-6 * 3 + 4w * 3) = 114 (-18 + 12w) = 114 Solving -18 + 12w = 114 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 + 12w = 114 + 18 Combine like terms: -18 + 18 = 0 0 + 12w = 114 + 18 12w = 114 + 18 Combine like terms: 114 + 18 = 132 12w = 132 Divide each side by '12'. w = 11 Simplifying w = 11
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