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Simplifying -4 + 5(1 + 5r) = 11(r + 5) + -12 -4 + (1 * 5 + 5r * 5) = 11(r + 5) + -12 -4 + (5 + 25r) = 11(r + 5) + -12 Combine like terms: -4 + 5 = 1 1 + 25r = 11(r + 5) + -12 Reorder the terms: 1 + 25r = 11(5 + r) + -12 1 + 25r = (5 * 11 + r * 11) + -12 1 + 25r = (55 + 11r) + -12 Reorder the terms: 1 + 25r = 55 + -12 + 11r Combine like terms: 55 + -12 = 43 1 + 25r = 43 + 11r Solving 1 + 25r = 43 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. 1 + 25r + -11r = 43 + 11r + -11r Combine like terms: 25r + -11r = 14r 1 + 14r = 43 + 11r + -11r Combine like terms: 11r + -11r = 0 1 + 14r = 43 + 0 1 + 14r = 43 Add '-1' to each side of the equation. 1 + -1 + 14r = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 14r = 43 + -1 14r = 43 + -1 Combine like terms: 43 + -1 = 42 14r = 42 Divide each side by '14'. r = 3 Simplifying r = 3
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