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Simplifying 4r + 3s + 2t + 10 + 3t + -15 = 360 Reorder the terms: 10 + -15 + 4r + 3s + 2t + 3t = 360 Combine like terms: 10 + -15 = -5 -5 + 4r + 3s + 2t + 3t = 360 Combine like terms: 2t + 3t = 5t -5 + 4r + 3s + 5t = 360 Solving -5 + 4r + 3s + 5t = 360 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4r + 3s + 5 + 5t = 360 + 5 Reorder the terms: -5 + 5 + 4r + 3s + 5t = 360 + 5 Combine like terms: -5 + 5 = 0 0 + 4r + 3s + 5t = 360 + 5 4r + 3s + 5t = 360 + 5 Combine like terms: 360 + 5 = 365 4r + 3s + 5t = 365 Add '-3s' to each side of the equation. 4r + 3s + -3s + 5t = 365 + -3s Combine like terms: 3s + -3s = 0 4r + 0 + 5t = 365 + -3s 4r + 5t = 365 + -3s Add '-5t' to each side of the equation. 4r + 5t + -5t = 365 + -3s + -5t Combine like terms: 5t + -5t = 0 4r + 0 = 365 + -3s + -5t 4r = 365 + -3s + -5t Divide each side by '4'. r = 91.25 + -0.75s + -1.25t Simplifying r = 91.25 + -0.75s + -1.25t
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