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Simplifying -7(9r + 2) = -27 + -3r Reorder the terms: -7(2 + 9r) = -27 + -3r (2 * -7 + 9r * -7) = -27 + -3r (-14 + -63r) = -27 + -3r Solving -14 + -63r = -27 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -14 + -63r + 3r = -27 + -3r + 3r Combine like terms: -63r + 3r = -60r -14 + -60r = -27 + -3r + 3r Combine like terms: -3r + 3r = 0 -14 + -60r = -27 + 0 -14 + -60r = -27 Add '14' to each side of the equation. -14 + 14 + -60r = -27 + 14 Combine like terms: -14 + 14 = 0 0 + -60r = -27 + 14 -60r = -27 + 14 Combine like terms: -27 + 14 = -13 -60r = -13 Divide each side by '-60'. r = 0.2166666667 Simplifying r = 0.2166666667
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