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Simplifying 10r + 15 = 13r + -9 Reorder the terms: 15 + 10r = 13r + -9 Reorder the terms: 15 + 10r = -9 + 13r Solving 15 + 10r = -9 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. 15 + 10r + -13r = -9 + 13r + -13r Combine like terms: 10r + -13r = -3r 15 + -3r = -9 + 13r + -13r Combine like terms: 13r + -13r = 0 15 + -3r = -9 + 0 15 + -3r = -9 Add '-15' to each side of the equation. 15 + -15 + -3r = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -3r = -9 + -15 -3r = -9 + -15 Combine like terms: -9 + -15 = -24 -3r = -24 Divide each side by '-3'. r = 8 Simplifying r = 8
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