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Simplifying 23r + -27 = 16r + -13 Reorder the terms: -27 + 23r = 16r + -13 Reorder the terms: -27 + 23r = -13 + 16r Solving -27 + 23r = -13 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. -27 + 23r + -16r = -13 + 16r + -16r Combine like terms: 23r + -16r = 7r -27 + 7r = -13 + 16r + -16r Combine like terms: 16r + -16r = 0 -27 + 7r = -13 + 0 -27 + 7r = -13 Add '27' to each side of the equation. -27 + 27 + 7r = -13 + 27 Combine like terms: -27 + 27 = 0 0 + 7r = -13 + 27 7r = -13 + 27 Combine like terms: -13 + 27 = 14 7r = 14 Divide each side by '7'. r = 2 Simplifying r = 2
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