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Simplifying 5(1 + 7r) = 6(6r + 4) + -5 (1 * 5 + 7r * 5) = 6(6r + 4) + -5 (5 + 35r) = 6(6r + 4) + -5 Reorder the terms: 5 + 35r = 6(4 + 6r) + -5 5 + 35r = (4 * 6 + 6r * 6) + -5 5 + 35r = (24 + 36r) + -5 Reorder the terms: 5 + 35r = 24 + -5 + 36r Combine like terms: 24 + -5 = 19 5 + 35r = 19 + 36r Solving 5 + 35r = 19 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. 5 + 35r + -36r = 19 + 36r + -36r Combine like terms: 35r + -36r = -1r 5 + -1r = 19 + 36r + -36r Combine like terms: 36r + -36r = 0 5 + -1r = 19 + 0 5 + -1r = 19 Add '-5' to each side of the equation. 5 + -5 + -1r = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 19 + -5 -1r = 19 + -5 Combine like terms: 19 + -5 = 14 -1r = 14 Divide each side by '-1'. r = -14 Simplifying r = -14
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