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Simplifying 3 + r = 6r + -7 Reorder the terms: 3 + r = -7 + 6r Solving 3 + r = -7 + 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. 3 + r + -6r = -7 + 6r + -6r Combine like terms: r + -6r = -5r 3 + -5r = -7 + 6r + -6r Combine like terms: 6r + -6r = 0 3 + -5r = -7 + 0 3 + -5r = -7 Add '-3' to each side of the equation. 3 + -3 + -5r = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -5r = -7 + -3 -5r = -7 + -3 Combine like terms: -7 + -3 = -10 -5r = -10 Divide each side by '-5'. r = 2 Simplifying r = 2
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