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Simplifying 7 = 3(r + 1) + 1 Reorder the terms: 7 = 3(1 + r) + 1 7 = (1 * 3 + r * 3) + 1 7 = (3 + 3r) + 1 Reorder the terms: 7 = 3 + 1 + 3r Combine like terms: 3 + 1 = 4 7 = 4 + 3r Solving 7 = 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. 7 + -3r = 4 + 3r + -3r Combine like terms: 3r + -3r = 0 7 + -3r = 4 + 0 7 + -3r = 4 Add '-7' to each side of the equation. 7 + -7 + -3r = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = 4 + -7 -3r = 4 + -7 Combine like terms: 4 + -7 = -3 -3r = -3 Divide each side by '-3'. r = 1 Simplifying r = 1
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