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Simplifying -3(r + -1) + 5(3 + -7r) = -20 Reorder the terms: -3(-1 + r) + 5(3 + -7r) = -20 (-1 * -3 + r * -3) + 5(3 + -7r) = -20 (3 + -3r) + 5(3 + -7r) = -20 3 + -3r + (3 * 5 + -7r * 5) = -20 3 + -3r + (15 + -35r) = -20 Reorder the terms: 3 + 15 + -3r + -35r = -20 Combine like terms: 3 + 15 = 18 18 + -3r + -35r = -20 Combine like terms: -3r + -35r = -38r 18 + -38r = -20 Solving 18 + -38r = -20 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -38r = -20 + -18 Combine like terms: 18 + -18 = 0 0 + -38r = -20 + -18 -38r = -20 + -18 Combine like terms: -20 + -18 = -38 -38r = -38 Divide each side by '-38'. r = 1 Simplifying r = 1
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