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Simplifying 7(14r + 14) = 4(14r + 196) Reorder the terms: 7(14 + 14r) = 4(14r + 196) (14 * 7 + 14r * 7) = 4(14r + 196) (98 + 98r) = 4(14r + 196) Reorder the terms: 98 + 98r = 4(196 + 14r) 98 + 98r = (196 * 4 + 14r * 4) 98 + 98r = (784 + 56r) Solving 98 + 98r = 784 + 56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56r' to each side of the equation. 98 + 98r + -56r = 784 + 56r + -56r Combine like terms: 98r + -56r = 42r 98 + 42r = 784 + 56r + -56r Combine like terms: 56r + -56r = 0 98 + 42r = 784 + 0 98 + 42r = 784 Add '-98' to each side of the equation. 98 + -98 + 42r = 784 + -98 Combine like terms: 98 + -98 = 0 0 + 42r = 784 + -98 42r = 784 + -98 Combine like terms: 784 + -98 = 686 42r = 686 Divide each side by '42'. r = 16.33333333 Simplifying r = 16.33333333
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