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Simplifying -2r + 13 = 8r + -7 Reorder the terms: 13 + -2r = 8r + -7 Reorder the terms: 13 + -2r = -7 + 8r Solving 13 + -2r = -7 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 13 + -2r + -8r = -7 + 8r + -8r Combine like terms: -2r + -8r = -10r 13 + -10r = -7 + 8r + -8r Combine like terms: 8r + -8r = 0 13 + -10r = -7 + 0 13 + -10r = -7 Add '-13' to each side of the equation. 13 + -13 + -10r = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -10r = -7 + -13 -10r = -7 + -13 Combine like terms: -7 + -13 = -20 -10r = -20 Divide each side by '-10'. r = 2 Simplifying r = 2
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