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Simplifying 5 + 5r + -1 = 9r + 19 + -7r Reorder the terms: 5 + -1 + 5r = 9r + 19 + -7r Combine like terms: 5 + -1 = 4 4 + 5r = 9r + 19 + -7r Reorder the terms: 4 + 5r = 19 + 9r + -7r Combine like terms: 9r + -7r = 2r 4 + 5r = 19 + 2r Solving 4 + 5r = 19 + 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. 4 + 5r + -2r = 19 + 2r + -2r Combine like terms: 5r + -2r = 3r 4 + 3r = 19 + 2r + -2r Combine like terms: 2r + -2r = 0 4 + 3r = 19 + 0 4 + 3r = 19 Add '-4' to each side of the equation. 4 + -4 + 3r = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 19 + -4 3r = 19 + -4 Combine like terms: 19 + -4 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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