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Simplifying 92 = 2r + 3(4 + -4r) 92 = 2r + (4 * 3 + -4r * 3) 92 = 2r + (12 + -12r) Reorder the terms: 92 = 12 + 2r + -12r Combine like terms: 2r + -12r = -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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