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Simplifying 82 = 6(r + -2) + 4r Reorder the terms: 82 = 6(-2 + r) + 4r 82 = (-2 * 6 + r * 6) + 4r 82 = (-12 + 6r) + 4r Combine like terms: 6r + 4r = 10r 82 = -12 + 10r Solving 82 = -12 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 82 + -10r = -12 + 10r + -10r Combine like terms: 10r + -10r = 0 82 + -10r = -12 + 0 82 + -10r = -12 Add '-82' to each side of the equation. 82 + -82 + -10r = -12 + -82 Combine like terms: 82 + -82 = 0 0 + -10r = -12 + -82 -10r = -12 + -82 Combine like terms: -12 + -82 = -94 -10r = -94 Divide each side by '-10'. r = 9.4 Simplifying r = 9.4
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