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Simplifying 5 + 3(2r + -5) + -3(4r + 5) + -9 = 0 Reorder the terms: 5 + 3(-5 + 2r) + -3(4r + 5) + -9 = 0 5 + (-5 * 3 + 2r * 3) + -3(4r + 5) + -9 = 0 5 + (-15 + 6r) + -3(4r + 5) + -9 = 0 Reorder the terms: 5 + -15 + 6r + -3(5 + 4r) + -9 = 0 5 + -15 + 6r + (5 * -3 + 4r * -3) + -9 = 0 5 + -15 + 6r + (-15 + -12r) + -9 = 0 Reorder the terms: 5 + -15 + -15 + -9 + 6r + -12r = 0 Combine like terms: 5 + -15 = -10 -10 + -15 + -9 + 6r + -12r = 0 Combine like terms: -10 + -15 = -25 -25 + -9 + 6r + -12r = 0 Combine like terms: -25 + -9 = -34 -34 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -34 + -6r = 0 Solving -34 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -6r = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -6r = 0 + 34 -6r = 0 + 34 Combine like terms: 0 + 34 = 34 -6r = 34 Divide each side by '-6'. r = -5.666666667 Simplifying r = -5.666666667
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