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Simplifying 30 + -7r = r + 6 Reorder the terms: 30 + -7r = 6 + r Solving 30 + -7r = 6 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 30 + -7r + -1r = 6 + r + -1r Combine like terms: -7r + -1r = -8r 30 + -8r = 6 + r + -1r Combine like terms: r + -1r = 0 30 + -8r = 6 + 0 30 + -8r = 6 Add '-30' to each side of the equation. 30 + -30 + -8r = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -8r = 6 + -30 -8r = 6 + -30 Combine like terms: 6 + -30 = -24 -8r = -24 Divide each side by '-8'. r = 3 Simplifying r = 3
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