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Simplifying 5r + 12 = 8r + 18 Reorder the terms: 12 + 5r = 8r + 18 Reorder the terms: 12 + 5r = 18 + 8r Solving 12 + 5r = 18 + 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 + 5r + -8r = 18 + 8r + -8r Combine like terms: 5r + -8r = -3r 12 + -3r = 18 + 8r + -8r Combine like terms: 8r + -8r = 0 12 + -3r = 18 + 0 12 + -3r = 18 Add '-12' to each side of the equation. 12 + -12 + -3r = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -3r = 18 + -12 -3r = 18 + -12 Combine like terms: 18 + -12 = 6 -3r = 6 Divide each side by '-3'. r = -2 Simplifying r = -2
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