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Simplifying -113 = 6(2r + -5) + 1 Reorder the terms: -113 = 6(-5 + 2r) + 1 -113 = (-5 * 6 + 2r * 6) + 1 -113 = (-30 + 12r) + 1 Reorder the terms: -113 = -30 + 1 + 12r Combine like terms: -30 + 1 = -29 -113 = -29 + 12r Solving -113 = -29 + 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. -113 + -12r = -29 + 12r + -12r Combine like terms: 12r + -12r = 0 -113 + -12r = -29 + 0 -113 + -12r = -29 Add '113' to each side of the equation. -113 + 113 + -12r = -29 + 113 Combine like terms: -113 + 113 = 0 0 + -12r = -29 + 113 -12r = -29 + 113 Combine like terms: -29 + 113 = 84 -12r = 84 Divide each side by '-12'. r = -7 Simplifying r = -7
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