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Simplifying 19 = 3r + -7 + -5r Reorder the terms: 19 = -7 + 3r + -5r Combine like terms: 3r + -5r = -2r 19 = -7 + -2r Solving 19 = -7 + -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. 19 + 2r = -7 + -2r + 2r Combine like terms: -2r + 2r = 0 19 + 2r = -7 + 0 19 + 2r = -7 Add '-19' to each side of the equation. 19 + -19 + 2r = -7 + -19 Combine like terms: 19 + -19 = 0 0 + 2r = -7 + -19 2r = -7 + -19 Combine like terms: -7 + -19 = -26 2r = -26 Divide each side by '2'. r = -13 Simplifying r = -13
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