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Simplifying 5r + -2r + 3(r + -1) = 10.75 Reorder the terms: 5r + -2r + 3(-1 + r) = 10.75 5r + -2r + (-1 * 3 + r * 3) = 10.75 5r + -2r + (-3 + 3r) = 10.75 Reorder the terms: -3 + 5r + -2r + 3r = 10.75 Combine like terms: 5r + -2r = 3r -3 + 3r + 3r = 10.75 Combine like terms: 3r + 3r = 6r -3 + 6r = 10.75 Solving -3 + 6r = 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 + 3 + 6r = 10.75 + 3 Combine like terms: -3 + 3 = 0 0 + 6r = 10.75 + 3 6r = 10.75 + 3 Combine like terms: 10.75 + 3 = 13.75 6r = 13.75 Divide each side by '6'. r = 2.291666667 Simplifying r = 2.291666667
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