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Simplifying 4.5r + -2t + 3(r + -1) = 10.75 Reorder the terms: 4.5r + -2t + 3(-1 + r) = 10.75 4.5r + -2t + (-1 * 3 + r * 3) = 10.75 4.5r + -2t + (-3 + 3r) = 10.75 Reorder the terms: -3 + 4.5r + 3r + -2t = 10.75 Combine like terms: 4.5r + 3r = 7.5r -3 + 7.5r + -2t = 10.75 Solving -3 + 7.5r + -2t = 10.75 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 7.5r + 3 + -2t = 10.75 + 3 Reorder the terms: -3 + 3 + 7.5r + -2t = 10.75 + 3 Combine like terms: -3 + 3 = 0 0 + 7.5r + -2t = 10.75 + 3 7.5r + -2t = 10.75 + 3 Combine like terms: 10.75 + 3 = 13.75 7.5r + -2t = 13.75 Add '2t' to each side of the equation. 7.5r + -2t + 2t = 13.75 + 2t Combine like terms: -2t + 2t = 0 7.5r + 0 = 13.75 + 2t 7.5r = 13.75 + 2t Divide each side by '7.5'. r = 1.833333333 + 0.2666666667t Simplifying r = 1.833333333 + 0.2666666667t
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