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Simplifying -19r + 6 = 19 + -8r + -12r Reorder the terms: 6 + -19r = 19 + -8r + -12r Combine like terms: -8r + -12r = -20r 6 + -19r = 19 + -20r Solving 6 + -19r = 19 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. 6 + -19r + 20r = 19 + -20r + 20r Combine like terms: -19r + 20r = 1r 6 + 1r = 19 + -20r + 20r Combine like terms: -20r + 20r = 0 6 + 1r = 19 + 0 6 + 1r = 19 Add '-6' to each side of the equation. 6 + -6 + 1r = 19 + -6 Combine like terms: 6 + -6 = 0 0 + 1r = 19 + -6 1r = 19 + -6 Combine like terms: 19 + -6 = 13 1r = 13 Divide each side by '1'. r = 13 Simplifying r = 13
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