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Simplifying 4 + 19r + -3 = 9r + 154 + -7r Reorder the terms: 4 + -3 + 19r = 9r + 154 + -7r Combine like terms: 4 + -3 = 1 1 + 19r = 9r + 154 + -7r Reorder the terms: 1 + 19r = 154 + 9r + -7r Combine like terms: 9r + -7r = 2r 1 + 19r = 154 + 2r Solving 1 + 19r = 154 + 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. 1 + 19r + -2r = 154 + 2r + -2r Combine like terms: 19r + -2r = 17r 1 + 17r = 154 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 17r = 154 + 0 1 + 17r = 154 Add '-1' to each side of the equation. 1 + -1 + 17r = 154 + -1 Combine like terms: 1 + -1 = 0 0 + 17r = 154 + -1 17r = 154 + -1 Combine like terms: 154 + -1 = 153 17r = 153 Divide each side by '17'. r = 9 Simplifying r = 9
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