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Simplifying 7r + 8 = 6r + 1 Reorder the terms: 8 + 7r = 6r + 1 Reorder the terms: 8 + 7r = 1 + 6r Solving 8 + 7r = 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. 8 + 7r + -6r = 1 + 6r + -6r Combine like terms: 7r + -6r = 1r 8 + 1r = 1 + 6r + -6r Combine like terms: 6r + -6r = 0 8 + 1r = 1 + 0 8 + 1r = 1 Add '-8' to each side of the equation. 8 + -8 + 1r = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1r = 1 + -8 1r = 1 + -8 Combine like terms: 1 + -8 = -7 1r = -7 Divide each side by '1'. r = -7 Simplifying r = -7
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