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Simplifying 5(r + 3) + -2(4r + 2) = 3r + r Reorder the terms: 5(3 + r) + -2(4r + 2) = 3r + r (3 * 5 + r * 5) + -2(4r + 2) = 3r + r (15 + 5r) + -2(4r + 2) = 3r + r Reorder the terms: 15 + 5r + -2(2 + 4r) = 3r + r 15 + 5r + (2 * -2 + 4r * -2) = 3r + r 15 + 5r + (-4 + -8r) = 3r + r Reorder the terms: 15 + -4 + 5r + -8r = 3r + r Combine like terms: 15 + -4 = 11 11 + 5r + -8r = 3r + r Combine like terms: 5r + -8r = -3r 11 + -3r = 3r + r Combine like terms: 3r + r = 4r 11 + -3r = 4r Solving 11 + -3r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 11 + -3r + -4r = 4r + -4r Combine like terms: -3r + -4r = -7r 11 + -7r = 4r + -4r Combine like terms: 4r + -4r = 0 11 + -7r = 0 Add '-11' to each side of the equation. 11 + -11 + -7r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -7r = 0 + -11 -7r = 0 + -11 Combine like terms: 0 + -11 = -11 -7r = -11 Divide each side by '-7'. r = 1.571428571 Simplifying r = 1.571428571
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