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Simplifying 3(r + -1) = 2(4 + 7) + 1 Reorder the terms: 3(-1 + r) = 2(4 + 7) + 1 (-1 * 3 + r * 3) = 2(4 + 7) + 1 (-3 + 3r) = 2(4 + 7) + 1 Combine like terms: 4 + 7 = 11 -3 + 3r = 2(11) + 1 Multiply 2 * 11 -3 + 3r = 22 + 1 Combine like terms: 22 + 1 = 23 -3 + 3r = 23 Solving -3 + 3r = 23 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3r = 23 + 3 Combine like terms: -3 + 3 = 0 0 + 3r = 23 + 3 3r = 23 + 3 Combine like terms: 23 + 3 = 26 3r = 26 Divide each side by '3'. r = 8.666666667 Simplifying r = 8.666666667
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