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Simplifying 15r + 97 = 27r + -83 Reorder the terms: 97 + 15r = 27r + -83 Reorder the terms: 97 + 15r = -83 + 27r Solving 97 + 15r = -83 + 27r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27r' to each side of the equation. 97 + 15r + -27r = -83 + 27r + -27r Combine like terms: 15r + -27r = -12r 97 + -12r = -83 + 27r + -27r Combine like terms: 27r + -27r = 0 97 + -12r = -83 + 0 97 + -12r = -83 Add '-97' to each side of the equation. 97 + -97 + -12r = -83 + -97 Combine like terms: 97 + -97 = 0 0 + -12r = -83 + -97 -12r = -83 + -97 Combine like terms: -83 + -97 = -180 -12r = -180 Divide each side by '-12'. r = 15 Simplifying r = 15
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