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Simplifying 5(2w + 5) + -2(3w + -4) = 57 Reorder the terms: 5(5 + 2w) + -2(3w + -4) = 57 (5 * 5 + 2w * 5) + -2(3w + -4) = 57 (25 + 10w) + -2(3w + -4) = 57 Reorder the terms: 25 + 10w + -2(-4 + 3w) = 57 25 + 10w + (-4 * -2 + 3w * -2) = 57 25 + 10w + (8 + -6w) = 57 Reorder the terms: 25 + 8 + 10w + -6w = 57 Combine like terms: 25 + 8 = 33 33 + 10w + -6w = 57 Combine like terms: 10w + -6w = 4w 33 + 4w = 57 Solving 33 + 4w = 57 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 4w = 57 + -33 Combine like terms: 33 + -33 = 0 0 + 4w = 57 + -33 4w = 57 + -33 Combine like terms: 57 + -33 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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