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Simplifying 7 + 1 + 7r + -2r = r + 1 + 5r Combine like terms: 7 + 1 = 8 8 + 7r + -2r = r + 1 + 5r Combine like terms: 7r + -2r = 5r 8 + 5r = r + 1 + 5r Reorder the terms: 8 + 5r = 1 + r + 5r Combine like terms: r + 5r = 6r 8 + 5r = 1 + 6r Solving 8 + 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. 8 + 5r + -6r = 1 + 6r + -6r Combine like terms: 5r + -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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