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Simplifying 2(6r + 7) + -1r = 5(2r + 3) + -25 Reorder the terms: 2(7 + 6r) + -1r = 5(2r + 3) + -25 (7 * 2 + 6r * 2) + -1r = 5(2r + 3) + -25 (14 + 12r) + -1r = 5(2r + 3) + -25 Combine like terms: 12r + -1r = 11r 14 + 11r = 5(2r + 3) + -25 Reorder the terms: 14 + 11r = 5(3 + 2r) + -25 14 + 11r = (3 * 5 + 2r * 5) + -25 14 + 11r = (15 + 10r) + -25 Reorder the terms: 14 + 11r = 15 + -25 + 10r Combine like terms: 15 + -25 = -10 14 + 11r = -10 + 10r Solving 14 + 11r = -10 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 14 + 11r + -10r = -10 + 10r + -10r Combine like terms: 11r + -10r = 1r 14 + 1r = -10 + 10r + -10r Combine like terms: 10r + -10r = 0 14 + 1r = -10 + 0 14 + 1r = -10 Add '-14' to each side of the equation. 14 + -14 + 1r = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 1r = -10 + -14 1r = -10 + -14 Combine like terms: -10 + -14 = -24 1r = -24 Divide each side by '1'. r = -24 Simplifying r = -24
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