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Simplifying -6(1 + -2r) = 42 (1 * -6 + -2r * -6) = 42 (-6 + 12r) = 42 Solving -6 + 12r = 42 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12r = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 12r = 42 + 6 12r = 42 + 6 Combine like terms: 42 + 6 = 48 12r = 48 Divide each side by '12'. r = 4 Simplifying r = 4
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