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Simplifying 45r + -2r + 3(r + -1) = 10.75 Reorder the terms: 45r + -2r + 3(-1 + r) = 10.75 45r + -2r + (-1 * 3 + r * 3) = 10.75 45r + -2r + (-3 + 3r) = 10.75 Reorder the terms: -3 + 45r + -2r + 3r = 10.75 Combine like terms: 45r + -2r = 43r -3 + 43r + 3r = 10.75 Combine like terms: 43r + 3r = 46r -3 + 46r = 10.75 Solving -3 + 46r = 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 + 46r = 10.75 + 3 Combine like terms: -3 + 3 = 0 0 + 46r = 10.75 + 3 46r = 10.75 + 3 Combine like terms: 10.75 + 3 = 13.75 46r = 13.75 Divide each side by '46'. r = 0.2989130435 Simplifying r = 0.2989130435
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