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Simplifying 13 + -6r + -19 = 7r + 12 + -4r Reorder the terms: 13 + -19 + -6r = 7r + 12 + -4r Combine like terms: 13 + -19 = -6 -6 + -6r = 7r + 12 + -4r Reorder the terms: -6 + -6r = 12 + 7r + -4r Combine like terms: 7r + -4r = 3r -6 + -6r = 12 + 3r Solving -6 + -6r = 12 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -6 + -6r + -3r = 12 + 3r + -3r Combine like terms: -6r + -3r = -9r -6 + -9r = 12 + 3r + -3r Combine like terms: 3r + -3r = 0 -6 + -9r = 12 + 0 -6 + -9r = 12 Add '6' to each side of the equation. -6 + 6 + -9r = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9r = 12 + 6 -9r = 12 + 6 Combine like terms: 12 + 6 = 18 -9r = 18 Divide each side by '-9'. r = -2 Simplifying r = -2
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