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Simplifying 3r + 2 + -7 = 6r + 1 Reorder the terms: 2 + -7 + 3r = 6r + 1 Combine like terms: 2 + -7 = -5 -5 + 3r = 6r + 1 Reorder the terms: -5 + 3r = 1 + 6r Solving -5 + 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. -5 + 3r + -6r = 1 + 6r + -6r Combine like terms: 3r + -6r = -3r -5 + -3r = 1 + 6r + -6r Combine like terms: 6r + -6r = 0 -5 + -3r = 1 + 0 -5 + -3r = 1 Add '5' to each side of the equation. -5 + 5 + -3r = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -3r = 1 + 5 -3r = 1 + 5 Combine like terms: 1 + 5 = 6 -3r = 6 Divide each side by '-3'. r = -2 Simplifying r = -2
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