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Simplifying 9 + -4(2r + -1) = 2r + -5 + r Reorder the terms: 9 + -4(-1 + 2r) = 2r + -5 + r 9 + (-1 * -4 + 2r * -4) = 2r + -5 + r 9 + (4 + -8r) = 2r + -5 + r Combine like terms: 9 + 4 = 13 13 + -8r = 2r + -5 + r Reorder the terms: 13 + -8r = -5 + 2r + r Combine like terms: 2r + r = 3r 13 + -8r = -5 + 3r Solving 13 + -8r = -5 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 13 + -8r + -3r = -5 + 3r + -3r Combine like terms: -8r + -3r = -11r 13 + -11r = -5 + 3r + -3r Combine like terms: 3r + -3r = 0 13 + -11r = -5 + 0 13 + -11r = -5 Add '-13' to each side of the equation. 13 + -13 + -11r = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -11r = -5 + -13 -11r = -5 + -13 Combine like terms: -5 + -13 = -18 -11r = -18 Divide each side by '-11'. r = 1.636363636 Simplifying r = 1.636363636
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