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Simplifying 8r + 26 = 5(4r + -2) Reorder the terms: 26 + 8r = 5(4r + -2) Reorder the terms: 26 + 8r = 5(-2 + 4r) 26 + 8r = (-2 * 5 + 4r * 5) 26 + 8r = (-10 + 20r) Solving 26 + 8r = -10 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. 26 + 8r + -20r = -10 + 20r + -20r Combine like terms: 8r + -20r = -12r 26 + -12r = -10 + 20r + -20r Combine like terms: 20r + -20r = 0 26 + -12r = -10 + 0 26 + -12r = -10 Add '-26' to each side of the equation. 26 + -26 + -12r = -10 + -26 Combine like terms: 26 + -26 = 0 0 + -12r = -10 + -26 -12r = -10 + -26 Combine like terms: -10 + -26 = -36 -12r = -36 Divide each side by '-12'. r = 3 Simplifying r = 3
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