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Simplifying 5.1 + -4.2(r + 1) = 20.1 Reorder the terms: 5.1 + -4.2(1 + r) = 20.1 5.1 + (1 * -4.2 + r * -4.2) = 20.1 5.1 + (-4.2 + -4.2r) = 20.1 Combine like terms: 5.1 + -4.2 = 0.9 0.9 + -4.2r = 20.1 Solving 0.9 + -4.2r = 20.1 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + -4.2r = 20.1 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -4.2r = 20.1 + -0.9 -4.2r = 20.1 + -0.9 Combine like terms: 20.1 + -0.9 = 19.2 -4.2r = 19.2 Divide each side by '-4.2'. r = -4.571428571 Simplifying r = -4.571428571
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