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Simplifying 7 + 5 = 6r + 8 + -5r Combine like terms: 7 + 5 = 12 12 = 6r + 8 + -5r Reorder the terms: 12 = 8 + 6r + -5r Combine like terms: 6r + -5r = 1r 12 = 8 + 1r Solving 12 = 8 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 12 + -1r = 8 + 1r + -1r Combine like terms: 1r + -1r = 0 12 + -1r = 8 + 0 12 + -1r = 8 Add '-12' to each side of the equation. 12 + -12 + -1r = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = 8 + -12 -1r = 8 + -12 Combine like terms: 8 + -12 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4
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