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Simplifying 3r + 7 = 6r + 1 Reorder the terms: 7 + 3r = 6r + 1 Reorder the terms: 7 + 3r = 1 + 6r Solving 7 + 3r = 1 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 7 + 3r + -6r = 1 + 6r + -6r Combine like terms: 3r + -6r = -3r 7 + -3r = 1 + 6r + -6r Combine like terms: 6r + -6r = 0 7 + -3r = 1 + 0 7 + -3r = 1 Add '-7' to each side of the equation. 7 + -7 + -3r = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = 1 + -7 -3r = 1 + -7 Combine like terms: 1 + -7 = -6 -3r = -6 Divide each side by '-3'. r = 2 Simplifying r = 2
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