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Simplifying 5r + 12 = 6r + 1 Reorder the terms: 12 + 5r = 6r + 1 Reorder the terms: 12 + 5r = 1 + 6r Solving 12 + 5r = 1 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 12 + 5r + -6r = 1 + 6r + -6r Combine like terms: 5r + -6r = -1r 12 + -1r = 1 + 6r + -6r Combine like terms: 6r + -6r = 0 12 + -1r = 1 + 0 12 + -1r = 1 Add '-12' to each side of the equation. 12 + -12 + -1r = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = 1 + -12 -1r = 1 + -12 Combine like terms: 1 + -12 = -11 -1r = -11 Divide each side by '-1'. r = 11 Simplifying r = 11
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