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Simplifying 7r + -12 = 8r + 5 Reorder the terms: -12 + 7r = 8r + 5 Reorder the terms: -12 + 7r = 5 + 8r Solving -12 + 7r = 5 + 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. -12 + 7r + -8r = 5 + 8r + -8r Combine like terms: 7r + -8r = -1r -12 + -1r = 5 + 8r + -8r Combine like terms: 8r + -8r = 0 -12 + -1r = 5 + 0 -12 + -1r = 5 Add '12' to each side of the equation. -12 + 12 + -1r = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -1r = 5 + 12 -1r = 5 + 12 Combine like terms: 5 + 12 = 17 -1r = 17 Divide each side by '-1'. r = -17 Simplifying r = -17
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