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Simplifying 3(2r + 5) + -4(r + -9) = 0 Reorder the terms: 3(5 + 2r) + -4(r + -9) = 0 (5 * 3 + 2r * 3) + -4(r + -9) = 0 (15 + 6r) + -4(r + -9) = 0 Reorder the terms: 15 + 6r + -4(-9 + r) = 0 15 + 6r + (-9 * -4 + r * -4) = 0 15 + 6r + (36 + -4r) = 0 Reorder the terms: 15 + 36 + 6r + -4r = 0 Combine like terms: 15 + 36 = 51 51 + 6r + -4r = 0 Combine like terms: 6r + -4r = 2r 51 + 2r = 0 Solving 51 + 2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 2r = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 2r = 0 + -51 2r = 0 + -51 Combine like terms: 0 + -51 = -51 2r = -51 Divide each side by '2'. r = -25.5 Simplifying r = -25.5
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