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Simplifying -7(r + 7) = -105 Reorder the terms: -7(7 + r) = -105 (7 * -7 + r * -7) = -105 (-49 + -7r) = -105 Solving -49 + -7r = -105 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -7r = -105 + 49 Combine like terms: -49 + 49 = 0 0 + -7r = -105 + 49 -7r = -105 + 49 Combine like terms: -105 + 49 = -56 -7r = -56 Divide each side by '-7'. r = 8 Simplifying r = 8
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