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Simplifying -8r + -3(-10r + -7) = 109 Reorder the terms: -8r + -3(-7 + -10r) = 109 -8r + (-7 * -3 + -10r * -3) = 109 -8r + (21 + 30r) = 109 Reorder the terms: 21 + -8r + 30r = 109 Combine like terms: -8r + 30r = 22r 21 + 22r = 109 Solving 21 + 22r = 109 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 22r = 109 + -21 Combine like terms: 21 + -21 = 0 0 + 22r = 109 + -21 22r = 109 + -21 Combine like terms: 109 + -21 = 88 22r = 88 Divide each side by '22'. r = 4 Simplifying r = 4
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