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Simplifying 3.3r + -10 = -17.1r + 2.1 + 17.45 Reorder the terms: -10 + 3.3r = -17.1r + 2.1 + 17.45 Reorder the terms: -10 + 3.3r = 2.1 + 17.45 + -17.1r Combine like terms: 2.1 + 17.45 = 19.55 -10 + 3.3r = 19.55 + -17.1r Solving -10 + 3.3r = 19.55 + -17.1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17.1r' to each side of the equation. -10 + 3.3r + 17.1r = 19.55 + -17.1r + 17.1r Combine like terms: 3.3r + 17.1r = 20.4r -10 + 20.4r = 19.55 + -17.1r + 17.1r Combine like terms: -17.1r + 17.1r = 0.0 -10 + 20.4r = 19.55 + 0.0 -10 + 20.4r = 19.55 Add '10' to each side of the equation. -10 + 10 + 20.4r = 19.55 + 10 Combine like terms: -10 + 10 = 0 0 + 20.4r = 19.55 + 10 20.4r = 19.55 + 10 Combine like terms: 19.55 + 10 = 29.55 20.4r = 29.55 Divide each side by '20.4'. r = 1.448529412 Simplifying r = 1.448529412
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