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Simplifying -13r + 10 = -4r + 19 + -8r Reorder the terms: 10 + -13r = -4r + 19 + -8r Reorder the terms: 10 + -13r = 19 + -4r + -8r Combine like terms: -4r + -8r = -12r 10 + -13r = 19 + -12r Solving 10 + -13r = 19 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 10 + -13r + 12r = 19 + -12r + 12r Combine like terms: -13r + 12r = -1r 10 + -1r = 19 + -12r + 12r Combine like terms: -12r + 12r = 0 10 + -1r = 19 + 0 10 + -1r = 19 Add '-10' to each side of the equation. 10 + -10 + -1r = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 19 + -10 -1r = 19 + -10 Combine like terms: 19 + -10 = 9 -1r = 9 Divide each side by '-1'. r = -9 Simplifying r = -9
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