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Simplifying 5r + -6(5r + -5) = -170 Reorder the terms: 5r + -6(-5 + 5r) = -170 5r + (-5 * -6 + 5r * -6) = -170 5r + (30 + -30r) = -170 Reorder the terms: 30 + 5r + -30r = -170 Combine like terms: 5r + -30r = -25r 30 + -25r = -170 Solving 30 + -25r = -170 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -25r = -170 + -30 Combine like terms: 30 + -30 = 0 0 + -25r = -170 + -30 -25r = -170 + -30 Combine like terms: -170 + -30 = -200 -25r = -200 Divide each side by '-25'. r = 8 Simplifying r = 8
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