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Simplifying -3(2 + 4r) = -102 (2 * -3 + 4r * -3) = -102 (-6 + -12r) = -102 Solving -6 + -12r = -102 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 = -102 + 6 Combine like terms: -6 + 6 = 0 0 + -12r = -102 + 6 -12r = -102 + 6 Combine like terms: -102 + 6 = -96 -12r = -96 Divide each side by '-12'. r = 8 Simplifying r = 8
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