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Simplifying 6r + -13 = -19 + 8r Reorder the terms: -13 + 6r = -19 + 8r Solving -13 + 6r = -19 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -13 + 6r + -8r = -19 + 8r + -8r Combine like terms: 6r + -8r = -2r -13 + -2r = -19 + 8r + -8r Combine like terms: 8r + -8r = 0 -13 + -2r = -19 + 0 -13 + -2r = -19 Add '13' to each side of the equation. -13 + 13 + -2r = -19 + 13 Combine like terms: -13 + 13 = 0 0 + -2r = -19 + 13 -2r = -19 + 13 Combine like terms: -19 + 13 = -6 -2r = -6 Divide each side by '-2'. r = 3 Simplifying r = 3
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