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Simplifying -3r + 8(-1r + 5) = 35 + -6r Reorder the terms: -3r + 8(5 + -1r) = 35 + -6r -3r + (5 * 8 + -1r * 8) = 35 + -6r -3r + (40 + -8r) = 35 + -6r Reorder the terms: 40 + -3r + -8r = 35 + -6r Combine like terms: -3r + -8r = -11r 40 + -11r = 35 + -6r Solving 40 + -11r = 35 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 40 + -11r + 6r = 35 + -6r + 6r Combine like terms: -11r + 6r = -5r 40 + -5r = 35 + -6r + 6r Combine like terms: -6r + 6r = 0 40 + -5r = 35 + 0 40 + -5r = 35 Add '-40' to each side of the equation. 40 + -40 + -5r = 35 + -40 Combine like terms: 40 + -40 = 0 0 + -5r = 35 + -40 -5r = 35 + -40 Combine like terms: 35 + -40 = -5 -5r = -5 Divide each side by '-5'. r = 1 Simplifying r = 1
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