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Simplifying -7 + 21(1 + 5r) = -34 -7 + (1 * 21 + 5r * 21) = -34 -7 + (21 + 105r) = -34 Combine like terms: -7 + 21 = 14 14 + 105r = -34 Solving 14 + 105r = -34 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 105r = -34 + -14 Combine like terms: 14 + -14 = 0 0 + 105r = -34 + -14 105r = -34 + -14 Combine like terms: -34 + -14 = -48 105r = -48 Divide each side by '105'. r = -0.4571428571 Simplifying r = -0.4571428571
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