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Simplifying -2(1 + -8r) = -114 (1 * -2 + -8r * -2) = -114 (-2 + 16r) = -114 Solving -2 + 16r = -114 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 16r = -114 + 2 Combine like terms: -2 + 2 = 0 0 + 16r = -114 + 2 16r = -114 + 2 Combine like terms: -114 + 2 = -112 16r = -112 Divide each side by '16'. r = -7 Simplifying r = -7
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