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Simplifying 4(1 + r) + -1 = 9 + 2r (1 * 4 + r * 4) + -1 = 9 + 2r (4 + 4r) + -1 = 9 + 2r Reorder the terms: 4 + -1 + 4r = 9 + 2r Combine like terms: 4 + -1 = 3 3 + 4r = 9 + 2r Solving 3 + 4r = 9 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 3 + 4r + -2r = 9 + 2r + -2r Combine like terms: 4r + -2r = 2r 3 + 2r = 9 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 2r = 9 + 0 3 + 2r = 9 Add '-3' to each side of the equation. 3 + -3 + 2r = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 9 + -3 2r = 9 + -3 Combine like terms: 9 + -3 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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