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Simplifying -7(7r + -1) + -2 = -142 Reorder the terms: -7(-1 + 7r) + -2 = -142 (-1 * -7 + 7r * -7) + -2 = -142 (7 + -49r) + -2 = -142 Reorder the terms: 7 + -2 + -49r = -142 Combine like terms: 7 + -2 = 5 5 + -49r = -142 Solving 5 + -49r = -142 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -49r = -142 + -5 Combine like terms: 5 + -5 = 0 0 + -49r = -142 + -5 -49r = -142 + -5 Combine like terms: -142 + -5 = -147 -49r = -147 Divide each side by '-49'. r = 3 Simplifying r = 3
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