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Simplifying -2(3r + -2) + -1(1 + 6r) = -69 Reorder the terms: -2(-2 + 3r) + -1(1 + 6r) = -69 (-2 * -2 + 3r * -2) + -1(1 + 6r) = -69 (4 + -6r) + -1(1 + 6r) = -69 4 + -6r + (1 * -1 + 6r * -1) = -69 4 + -6r + (-1 + -6r) = -69 Reorder the terms: 4 + -1 + -6r + -6r = -69 Combine like terms: 4 + -1 = 3 3 + -6r + -6r = -69 Combine like terms: -6r + -6r = -12r 3 + -12r = -69 Solving 3 + -12r = -69 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -12r = -69 + -3 Combine like terms: 3 + -3 = 0 0 + -12r = -69 + -3 -12r = -69 + -3 Combine like terms: -69 + -3 = -72 -12r = -72 Divide each side by '-12'. r = 6 Simplifying r = 6
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