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Simplifying 1 + -6r = -10 + 5r + -6 + -5 Reorder the terms: 1 + -6r = -10 + -6 + -5 + 5r Combine like terms: -10 + -6 = -16 1 + -6r = -16 + -5 + 5r Combine like terms: -16 + -5 = -21 1 + -6r = -21 + 5r Solving 1 + -6r = -21 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 1 + -6r + -5r = -21 + 5r + -5r Combine like terms: -6r + -5r = -11r 1 + -11r = -21 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + -11r = -21 + 0 1 + -11r = -21 Add '-1' to each side of the equation. 1 + -1 + -11r = -21 + -1 Combine like terms: 1 + -1 = 0 0 + -11r = -21 + -1 -11r = -21 + -1 Combine like terms: -21 + -1 = -22 -11r = -22 Divide each side by '-11'. r = 2 Simplifying r = 2
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