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Simplifying 7 + 19r + -5 = 9r + 128 + -4r Reorder the terms: 7 + -5 + 19r = 9r + 128 + -4r Combine like terms: 7 + -5 = 2 2 + 19r = 9r + 128 + -4r Reorder the terms: 2 + 19r = 128 + 9r + -4r Combine like terms: 9r + -4r = 5r 2 + 19r = 128 + 5r Solving 2 + 19r = 128 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 2 + 19r + -5r = 128 + 5r + -5r Combine like terms: 19r + -5r = 14r 2 + 14r = 128 + 5r + -5r Combine like terms: 5r + -5r = 0 2 + 14r = 128 + 0 2 + 14r = 128 Add '-2' to each side of the equation. 2 + -2 + 14r = 128 + -2 Combine like terms: 2 + -2 = 0 0 + 14r = 128 + -2 14r = 128 + -2 Combine like terms: 128 + -2 = 126 14r = 126 Divide each side by '14'. r = 9 Simplifying r = 9
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