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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 = -51 -51 + 16w + 15w = 228 Combine like terms: 16w + 15w = 31w -51 + 31w = 228 Solving -51 + 31w = 228 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 31w = 228 + 51 Combine like terms: -51 + 51 = 0 0 + 31w = 228 + 51 31w = 228 + 51 Combine like terms: 228 + 51 = 279 31w = 279 Divide each side by '31'. w = 9 Simplifying w = 9
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