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Simplifying 4.5r + -2r + 3(r + -3) = 10.75 Reorder the terms: 4.5r + -2r + 3(-3 + r) = 10.75 4.5r + -2r + (-3 * 3 + r * 3) = 10.75 4.5r + -2r + (-9 + 3r) = 10.75 Reorder the terms: -9 + 4.5r + -2r + 3r = 10.75 Combine like terms: 4.5r + -2r = 2.5r -9 + 2.5r + 3r = 10.75 Combine like terms: 2.5r + 3r = 5.5r -9 + 5.5r = 10.75 Solving -9 + 5.5r = 10.75 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5.5r = 10.75 + 9 Combine like terms: -9 + 9 = 0 0 + 5.5r = 10.75 + 9 5.5r = 10.75 + 9 Combine like terms: 10.75 + 9 = 19.75 5.5r = 19.75 Divide each side by '5.5'. r = 3.590909091 Simplifying r = 3.590909091
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