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Simplifying 92 = 6(r + 2) + 4r Reorder the terms: 92 = 6(2 + r) + 4r 92 = (2 * 6 + r * 6) + 4r 92 = (12 + 6r) + 4r Combine like terms: 6r + 4r = 10r 92 = 12 + 10r Solving 92 = 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. 92 + -10r = 12 + 10r + -10r Combine like terms: 10r + -10r = 0 92 + -10r = 12 + 0 92 + -10r = 12 Add '-92' to each side of the equation. 92 + -92 + -10r = 12 + -92 Combine like terms: 92 + -92 = 0 0 + -10r = 12 + -92 -10r = 12 + -92 Combine like terms: 12 + -92 = -80 -10r = -80 Divide each side by '-10'. r = 8 Simplifying r = 8
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