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Simplifying 4 + 16r + -2 = 9r + 38 + -5r Reorder the terms: 4 + -2 + 16r = 9r + 38 + -5r Combine like terms: 4 + -2 = 2 2 + 16r = 9r + 38 + -5r Reorder the terms: 2 + 16r = 38 + 9r + -5r Combine like terms: 9r + -5r = 4r 2 + 16r = 38 + 4r Solving 2 + 16r = 38 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 2 + 16r + -4r = 38 + 4r + -4r Combine like terms: 16r + -4r = 12r 2 + 12r = 38 + 4r + -4r Combine like terms: 4r + -4r = 0 2 + 12r = 38 + 0 2 + 12r = 38 Add '-2' to each side of the equation. 2 + -2 + 12r = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 12r = 38 + -2 12r = 38 + -2 Combine like terms: 38 + -2 = 36 12r = 36 Divide each side by '12'. r = 3 Simplifying r = 3
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