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Simplifying 4(2w + -1) + 5(3w + -4) = 45 Reorder the terms: 4(-1 + 2w) + 5(3w + -4) = 45 (-1 * 4 + 2w * 4) + 5(3w + -4) = 45 (-4 + 8w) + 5(3w + -4) = 45 Reorder the terms: -4 + 8w + 5(-4 + 3w) = 45 -4 + 8w + (-4 * 5 + 3w * 5) = 45 -4 + 8w + (-20 + 15w) = 45 Reorder the terms: -4 + -20 + 8w + 15w = 45 Combine like terms: -4 + -20 = -24 -24 + 8w + 15w = 45 Combine like terms: 8w + 15w = 23w -24 + 23w = 45 Solving -24 + 23w = 45 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 23w = 45 + 24 Combine like terms: -24 + 24 = 0 0 + 23w = 45 + 24 23w = 45 + 24 Combine like terms: 45 + 24 = 69 23w = 69 Divide each side by '23'. w = 3 Simplifying w = 3
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