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Simplifying 14r + 24 = 10r + 2r + 30 Reorder the terms: 24 + 14r = 10r + 2r + 30 Reorder the terms: 24 + 14r = 30 + 10r + 2r Combine like terms: 10r + 2r = 12r 24 + 14r = 30 + 12r Solving 24 + 14r = 30 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 24 + 14r + -12r = 30 + 12r + -12r Combine like terms: 14r + -12r = 2r 24 + 2r = 30 + 12r + -12r Combine like terms: 12r + -12r = 0 24 + 2r = 30 + 0 24 + 2r = 30 Add '-24' to each side of the equation. 24 + -24 + 2r = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 2r = 30 + -24 2r = 30 + -24 Combine like terms: 30 + -24 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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