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Simplifying 3w + -23 + 3w + -33 + 4w + 4w + -46 + 49 + 3w + -39 + 61 = 360 Reorder the terms: -23 + -33 + -46 + 49 + -39 + 61 + 3w + 3w + 4w + 4w + 3w = 360 Combine like terms: -23 + -33 = -56 -56 + -46 + 49 + -39 + 61 + 3w + 3w + 4w + 4w + 3w = 360 Combine like terms: -56 + -46 = -102 -102 + 49 + -39 + 61 + 3w + 3w + 4w + 4w + 3w = 360 Combine like terms: -102 + 49 = -53 -53 + -39 + 61 + 3w + 3w + 4w + 4w + 3w = 360 Combine like terms: -53 + -39 = -92 -92 + 61 + 3w + 3w + 4w + 4w + 3w = 360 Combine like terms: -92 + 61 = -31 -31 + 3w + 3w + 4w + 4w + 3w = 360 Combine like terms: 3w + 3w = 6w -31 + 6w + 4w + 4w + 3w = 360 Combine like terms: 6w + 4w = 10w -31 + 10w + 4w + 3w = 360 Combine like terms: 10w + 4w = 14w -31 + 14w + 3w = 360 Combine like terms: 14w + 3w = 17w -31 + 17w = 360 Solving -31 + 17w = 360 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 17w = 360 + 31 Combine like terms: -31 + 31 = 0 0 + 17w = 360 + 31 17w = 360 + 31 Combine like terms: 360 + 31 = 391 17w = 391 Divide each side by '17'. w = 23 Simplifying w = 23
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