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Simplifying -2 + -9(1 + 2r) = -47 -2 + (1 * -9 + 2r * -9) = -47 -2 + (-9 + -18r) = -47 Combine like terms: -2 + -9 = -11 -11 + -18r = -47 Solving -11 + -18r = -47 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -18r = -47 + 11 Combine like terms: -11 + 11 = 0 0 + -18r = -47 + 11 -18r = -47 + 11 Combine like terms: -47 + 11 = -36 -18r = -36 Divide each side by '-18'. r = 2 Simplifying r = 2
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