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Simplifying 7.10r + -13 = 3.10r + 13 Reorder the terms: -13 + 7.10r = 3.10r + 13 Reorder the terms: -13 + 7.10r = 13 + 3.10r Solving -13 + 7.10r = 13 + 3.10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.10r' to each side of the equation. -13 + 7.10r + -3.10r = 13 + 3.10r + -3.10r Combine like terms: 7.10r + -3.10r = 4r -13 + 4r = 13 + 3.10r + -3.10r Combine like terms: 3.10r + -3.10r = 0.00 -13 + 4r = 13 + 0.00 -13 + 4r = 13 Add '13' to each side of the equation. -13 + 13 + 4r = 13 + 13 Combine like terms: -13 + 13 = 0 0 + 4r = 13 + 13 4r = 13 + 13 Combine like terms: 13 + 13 = 26 4r = 26 Divide each side by '4'. r = 6.5 Simplifying r = 6.5
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