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Simplifying 7(1 + 7r) = -41 + r (1 * 7 + 7r * 7) = -41 + r (7 + 49r) = -41 + r Solving 7 + 49r = -41 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 7 + 49r + -1r = -41 + r + -1r Combine like terms: 49r + -1r = 48r 7 + 48r = -41 + r + -1r Combine like terms: r + -1r = 0 7 + 48r = -41 + 0 7 + 48r = -41 Add '-7' to each side of the equation. 7 + -7 + 48r = -41 + -7 Combine like terms: 7 + -7 = 0 0 + 48r = -41 + -7 48r = -41 + -7 Combine like terms: -41 + -7 = -48 48r = -48 Divide each side by '48'. r = -1 Simplifying r = -1
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