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Simplifying r + -1(-3 + 6r) = 33 + 5r r + (-3 * -1 + 6r * -1) = 33 + 5r r + (3 + -6r) = 33 + 5r Reorder the terms: 3 + r + -6r = 33 + 5r Combine like terms: r + -6r = -5r 3 + -5r = 33 + 5r Solving 3 + -5r = 33 + 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. 3 + -5r + -5r = 33 + 5r + -5r Combine like terms: -5r + -5r = -10r 3 + -10r = 33 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + -10r = 33 + 0 3 + -10r = 33 Add '-3' to each side of the equation. 3 + -3 + -10r = 33 + -3 Combine like terms: 3 + -3 = 0 0 + -10r = 33 + -3 -10r = 33 + -3 Combine like terms: 33 + -3 = 30 -10r = 30 Divide each side by '-10'. r = -3 Simplifying r = -3
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