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Simplifying 1 + 7r = 1 + -8r Add '-1' to each side of the equation. 1 + -1 + 7r = 1 + -1 + -8r Combine like terms: 1 + -1 = 0 0 + 7r = 1 + -1 + -8r 7r = 1 + -1 + -8r Combine like terms: 1 + -1 = 0 7r = 0 + -8r 7r = -8r Solving 7r = -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. 7r + 8r = -8r + 8r Combine like terms: 7r + 8r = 15r 15r = -8r + 8r Combine like terms: -8r + 8r = 0 15r = 0 Divide each side by '15'. r = 0 Simplifying r = 0
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