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Simplifying 4(4w + -6) + -3(5w + -9) = 228 Reorder the terms: 4(-6 + 4w) + -3(5w + -9) = 228 (-6 * 4 + 4w * 4) + -3(5w + -9) = 228 (-24 + 16w) + -3(5w + -9) = 228 Reorder the terms: -24 + 16w + -3(-9 + 5w) = 228 -24 + 16w + (-9 * -3 + 5w * -3) = 228 -24 + 16w + (27 + -15w) = 228 Reorder the terms: -24 + 27 + 16w + -15w = 228 Combine like terms: -24 + 27 = 3 3 + 16w + -15w = 228 Combine like terms: 16w + -15w = 1w 3 + 1w = 228 Solving 3 + 1w = 228 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1w = 228 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = 228 + -3 1w = 228 + -3 Combine like terms: 228 + -3 = 225 1w = 225 Divide each side by '1'. w = 225 Simplifying w = 225
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