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Simplifying 3(1 + 7r) = 26 + -2r (1 * 3 + 7r * 3) = 26 + -2r (3 + 21r) = 26 + -2r Solving 3 + 21r = 26 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 3 + 21r + 2r = 26 + -2r + 2r Combine like terms: 21r + 2r = 23r 3 + 23r = 26 + -2r + 2r Combine like terms: -2r + 2r = 0 3 + 23r = 26 + 0 3 + 23r = 26 Add '-3' to each side of the equation. 3 + -3 + 23r = 26 + -3 Combine like terms: 3 + -3 = 0 0 + 23r = 26 + -3 23r = 26 + -3 Combine like terms: 26 + -3 = 23 23r = 23 Divide each side by '23'. r = 1 Simplifying r = 1
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