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Simplifying 30r + 10 = 32 + 2r + 6 Reorder the terms: 10 + 30r = 32 + 2r + 6 Reorder the terms: 10 + 30r = 32 + 6 + 2r Combine like terms: 32 + 6 = 38 10 + 30r = 38 + 2r Solving 10 + 30r = 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. 10 + 30r + -2r = 38 + 2r + -2r Combine like terms: 30r + -2r = 28r 10 + 28r = 38 + 2r + -2r Combine like terms: 2r + -2r = 0 10 + 28r = 38 + 0 10 + 28r = 38 Add '-10' to each side of the equation. 10 + -10 + 28r = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 28r = 38 + -10 28r = 38 + -10 Combine like terms: 38 + -10 = 28 28r = 28 Divide each side by '28'. r = 1 Simplifying r = 1
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