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Simplifying -19 + -3r + 6 = 7r + -11 + -1r Reorder the terms: -19 + 6 + -3r = 7r + -11 + -1r Combine like terms: -19 + 6 = -13 -13 + -3r = 7r + -11 + -1r Reorder the terms: -13 + -3r = -11 + 7r + -1r Combine like terms: 7r + -1r = 6r -13 + -3r = -11 + 6r Solving -13 + -3r = -11 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -13 + -3r + -6r = -11 + 6r + -6r Combine like terms: -3r + -6r = -9r -13 + -9r = -11 + 6r + -6r Combine like terms: 6r + -6r = 0 -13 + -9r = -11 + 0 -13 + -9r = -11 Add '13' to each side of the equation. -13 + 13 + -9r = -11 + 13 Combine like terms: -13 + 13 = 0 0 + -9r = -11 + 13 -9r = -11 + 13 Combine like terms: -11 + 13 = 2 -9r = 2 Divide each side by '-9'. r = -0.2222222222 Simplifying r = -0.2222222222
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