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Simplifying 10 = 3(r + 1) + 1 Reorder the terms: 10 = 3(1 + r) + 1 10 = (1 * 3 + r * 3) + 1 10 = (3 + 3r) + 1 Reorder the terms: 10 = 3 + 1 + 3r Combine like terms: 3 + 1 = 4 10 = 4 + 3r Solving 10 = 4 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 10 + -3r = 4 + 3r + -3r Combine like terms: 3r + -3r = 0 10 + -3r = 4 + 0 10 + -3r = 4 Add '-10' to each side of the equation. 10 + -10 + -3r = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -3r = 4 + -10 -3r = 4 + -10 Combine like terms: 4 + -10 = -6 -3r = -6 Divide each side by '-3'. r = 2 Simplifying r = 2
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