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Simplifying 9 + -5r + 7 = 7r + -8 Reorder the terms: 9 + 7 + -5r = 7r + -8 Combine like terms: 9 + 7 = 16 16 + -5r = 7r + -8 Reorder the terms: 16 + -5r = -8 + 7r Solving 16 + -5r = -8 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 16 + -5r + -7r = -8 + 7r + -7r Combine like terms: -5r + -7r = -12r 16 + -12r = -8 + 7r + -7r Combine like terms: 7r + -7r = 0 16 + -12r = -8 + 0 16 + -12r = -8 Add '-16' to each side of the equation. 16 + -16 + -12r = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -12r = -8 + -16 -12r = -8 + -16 Combine like terms: -8 + -16 = -24 -12r = -24 Divide each side by '-12'. r = 2 Simplifying r = 2
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