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Simplifying 6(1 + -1r) = 8 + -5r (1 * 6 + -1r * 6) = 8 + -5r (6 + -6r) = 8 + -5r Solving 6 + -6r = 8 + -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. 6 + -6r + 5r = 8 + -5r + 5r Combine like terms: -6r + 5r = -1r 6 + -1r = 8 + -5r + 5r Combine like terms: -5r + 5r = 0 6 + -1r = 8 + 0 6 + -1r = 8 Add '-6' to each side of the equation. 6 + -6 + -1r = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 8 + -6 -1r = 8 + -6 Combine like terms: 8 + -6 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2
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