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Simplifying 13 + -1r + -19 = 8r + 4 + -6r Reorder the terms: 13 + -19 + -1r = 8r + 4 + -6r Combine like terms: 13 + -19 = -6 -6 + -1r = 8r + 4 + -6r Reorder the terms: -6 + -1r = 4 + 8r + -6r Combine like terms: 8r + -6r = 2r -6 + -1r = 4 + 2r Solving -6 + -1r = 4 + 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. -6 + -1r + -2r = 4 + 2r + -2r Combine like terms: -1r + -2r = -3r -6 + -3r = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 -6 + -3r = 4 + 0 -6 + -3r = 4 Add '6' to each side of the equation. -6 + 6 + -3r = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -3r = 4 + 6 -3r = 4 + 6 Combine like terms: 4 + 6 = 10 -3r = 10 Divide each side by '-3'. r = -3.333333333 Simplifying r = -3.333333333
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