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Simplifying -3(r + 9) = -46 Reorder the terms: -3(9 + r) = -46 (9 * -3 + r * -3) = -46 (-27 + -3r) = -46 Solving -27 + -3r = -46 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -3r = -46 + 27 Combine like terms: -27 + 27 = 0 0 + -3r = -46 + 27 -3r = -46 + 27 Combine like terms: -46 + 27 = -19 -3r = -19 Divide each side by '-3'. r = 6.333333333 Simplifying r = 6.333333333
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