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Simplifying 12 + -6r = 10 + -5r Solving 12 + -6r = 10 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 12 + -6r + 5r = 10 + -5r + 5r Combine like terms: -6r + 5r = -1r 12 + -1r = 10 + -5r + 5r Combine like terms: -5r + 5r = 0 12 + -1r = 10 + 0 12 + -1r = 10 Add '-12' to each side of the equation. 12 + -12 + -1r = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = 10 + -12 -1r = 10 + -12 Combine like terms: 10 + -12 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2
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