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Simplifying 2(4w + -3) + 5(4w + -6) = 0 Reorder the terms: 2(-3 + 4w) + 5(4w + -6) = 0 (-3 * 2 + 4w * 2) + 5(4w + -6) = 0 (-6 + 8w) + 5(4w + -6) = 0 Reorder the terms: -6 + 8w + 5(-6 + 4w) = 0 -6 + 8w + (-6 * 5 + 4w * 5) = 0 -6 + 8w + (-30 + 20w) = 0 Reorder the terms: -6 + -30 + 8w + 20w = 0 Combine like terms: -6 + -30 = -36 -36 + 8w + 20w = 0 Combine like terms: 8w + 20w = 28w -36 + 28w = 0 Solving -36 + 28w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 28w = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 28w = 0 + 36 28w = 0 + 36 Combine like terms: 0 + 36 = 36 28w = 36 Divide each side by '28'. w = 1.285714286 Simplifying w = 1.285714286
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