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Simplifying 4 + 3(2r + -5) + -3(4r + 6) + -9 = 0 Reorder the terms: 4 + 3(-5 + 2r) + -3(4r + 6) + -9 = 0 4 + (-5 * 3 + 2r * 3) + -3(4r + 6) + -9 = 0 4 + (-15 + 6r) + -3(4r + 6) + -9 = 0 Reorder the terms: 4 + -15 + 6r + -3(6 + 4r) + -9 = 0 4 + -15 + 6r + (6 * -3 + 4r * -3) + -9 = 0 4 + -15 + 6r + (-18 + -12r) + -9 = 0 Reorder the terms: 4 + -15 + -18 + -9 + 6r + -12r = 0 Combine like terms: 4 + -15 = -11 -11 + -18 + -9 + 6r + -12r = 0 Combine like terms: -11 + -18 = -29 -29 + -9 + 6r + -12r = 0 Combine like terms: -29 + -9 = -38 -38 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -38 + -6r = 0 Solving -38 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -6r = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -6r = 0 + 38 -6r = 0 + 38 Combine like terms: 0 + 38 = 38 -6r = 38 Divide each side by '-6'. r = -6.333333333 Simplifying r = -6.333333333
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