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Simplifying -3(3 + -3r) + 7(3r + 7) = -20 (3 * -3 + -3r * -3) + 7(3r + 7) = -20 (-9 + 9r) + 7(3r + 7) = -20 Reorder the terms: -9 + 9r + 7(7 + 3r) = -20 -9 + 9r + (7 * 7 + 3r * 7) = -20 -9 + 9r + (49 + 21r) = -20 Reorder the terms: -9 + 49 + 9r + 21r = -20 Combine like terms: -9 + 49 = 40 40 + 9r + 21r = -20 Combine like terms: 9r + 21r = 30r 40 + 30r = -20 Solving 40 + 30r = -20 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 30r = -20 + -40 Combine like terms: 40 + -40 = 0 0 + 30r = -20 + -40 30r = -20 + -40 Combine like terms: -20 + -40 = -60 30r = -60 Divide each side by '30'. r = -2 Simplifying r = -2
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