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Simplifying 65 = -5(-3r + -2) + -4r Reorder the terms: 65 = -5(-2 + -3r) + -4r 65 = (-2 * -5 + -3r * -5) + -4r 65 = (10 + 15r) + -4r Combine like terms: 15r + -4r = 11r 65 = 10 + 11r Solving 65 = 10 + 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. 65 + -11r = 10 + 11r + -11r Combine like terms: 11r + -11r = 0 65 + -11r = 10 + 0 65 + -11r = 10 Add '-65' to each side of the equation. 65 + -65 + -11r = 10 + -65 Combine like terms: 65 + -65 = 0 0 + -11r = 10 + -65 -11r = 10 + -65 Combine like terms: 10 + -65 = -55 -11r = -55 Divide each side by '-11'. r = 5 Simplifying r = 5
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