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Simplifying 8(4r + -1) + -2r = 10r + 92 Reorder the terms: 8(-1 + 4r) + -2r = 10r + 92 (-1 * 8 + 4r * 8) + -2r = 10r + 92 (-8 + 32r) + -2r = 10r + 92 Combine like terms: 32r + -2r = 30r -8 + 30r = 10r + 92 Reorder the terms: -8 + 30r = 92 + 10r Solving -8 + 30r = 92 + 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. -8 + 30r + -10r = 92 + 10r + -10r Combine like terms: 30r + -10r = 20r -8 + 20r = 92 + 10r + -10r Combine like terms: 10r + -10r = 0 -8 + 20r = 92 + 0 -8 + 20r = 92 Add '8' to each side of the equation. -8 + 8 + 20r = 92 + 8 Combine like terms: -8 + 8 = 0 0 + 20r = 92 + 8 20r = 92 + 8 Combine like terms: 92 + 8 = 100 20r = 100 Divide each side by '20'. r = 5 Simplifying r = 5
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