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