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Simplifying -6(2r + -5) = 102 Reorder the terms: -6(-5 + 2r) = 102 (-5 * -6 + 2r * -6) = 102 (30 + -12r) = 102 Solving 30 + -12r = 102 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -12r = 102 + -30 Combine like terms: 30 + -30 = 0 0 + -12r = 102 + -30 -12r = 102 + -30 Combine like terms: 102 + -30 = 72 -12r = 72 Divide each side by '-12'. r = -6 Simplifying r = -6
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