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Simplifying 9(3r + -1) = -4(r + 2) Reorder the terms: 9(-1 + 3r) = -4(r + 2) (-1 * 9 + 3r * 9) = -4(r + 2) (-9 + 27r) = -4(r + 2) Reorder the terms: -9 + 27r = -4(2 + r) -9 + 27r = (2 * -4 + r * -4) -9 + 27r = (-8 + -4r) Solving -9 + 27r = -8 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -9 + 27r + 4r = -8 + -4r + 4r Combine like terms: 27r + 4r = 31r -9 + 31r = -8 + -4r + 4r Combine like terms: -4r + 4r = 0 -9 + 31r = -8 + 0 -9 + 31r = -8 Add '9' to each side of the equation. -9 + 9 + 31r = -8 + 9 Combine like terms: -9 + 9 = 0 0 + 31r = -8 + 9 31r = -8 + 9 Combine like terms: -8 + 9 = 1 31r = 1 Divide each side by '31'. r = 0.03225806452 Simplifying r = 0.03225806452
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