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