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Simplifying 8(4r + -8) = 38 + 2r Reorder the terms: 8(-8 + 4r) = 38 + 2r (-8 * 8 + 4r * 8) = 38 + 2r (-64 + 32r) = 38 + 2r Solving -64 + 32r = 38 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -64 + 32r + -2r = 38 + 2r + -2r Combine like terms: 32r + -2r = 30r -64 + 30r = 38 + 2r + -2r Combine like terms: 2r + -2r = 0 -64 + 30r = 38 + 0 -64 + 30r = 38 Add '64' to each side of the equation. -64 + 64 + 30r = 38 + 64 Combine like terms: -64 + 64 = 0 0 + 30r = 38 + 64 30r = 38 + 64 Combine like terms: 38 + 64 = 102 30r = 102 Divide each side by '30'. r = 3.4 Simplifying r = 3.4
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