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Simplifying -4(9r + 6) + 5(2r + 3) = 0 Reorder the terms: -4(6 + 9r) + 5(2r + 3) = 0 (6 * -4 + 9r * -4) + 5(2r + 3) = 0 (-24 + -36r) + 5(2r + 3) = 0 Reorder the terms: -24 + -36r + 5(3 + 2r) = 0 -24 + -36r + (3 * 5 + 2r * 5) = 0 -24 + -36r + (15 + 10r) = 0 Reorder the terms: -24 + 15 + -36r + 10r = 0 Combine like terms: -24 + 15 = -9 -9 + -36r + 10r = 0 Combine like terms: -36r + 10r = -26r -9 + -26r = 0 Solving -9 + -26r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -26r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -26r = 0 + 9 -26r = 0 + 9 Combine like terms: 0 + 9 = 9 -26r = 9 Divide each side by '-26'. r = -0.3461538462 Simplifying r = -0.3461538462
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