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Simplifying 7r + -4(-7 + -4r) = 166 7r + (-7 * -4 + -4r * -4) = 166 7r + (28 + 16r) = 166 Reorder the terms: 28 + 7r + 16r = 166 Combine like terms: 7r + 16r = 23r 28 + 23r = 166 Solving 28 + 23r = 166 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 23r = 166 + -28 Combine like terms: 28 + -28 = 0 0 + 23r = 166 + -28 23r = 166 + -28 Combine like terms: 166 + -28 = 138 23r = 138 Divide each side by '23'. r = 6 Simplifying r = 6
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