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Simplifying 13(1 + 6r) = 14 + -1r (1 * 13 + 6r * 13) = 14 + -1r (13 + 78r) = 14 + -1r Solving 13 + 78r = 14 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 13 + 78r + r = 14 + -1r + r Combine like terms: 78r + r = 79r 13 + 79r = 14 + -1r + r Combine like terms: -1r + r = 0 13 + 79r = 14 + 0 13 + 79r = 14 Add '-13' to each side of the equation. 13 + -13 + 79r = 14 + -13 Combine like terms: 13 + -13 = 0 0 + 79r = 14 + -13 79r = 14 + -13 Combine like terms: 14 + -13 = 1 79r = 1 Divide each side by '79'. r = 0.01265822785 Simplifying r = 0.01265822785
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