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Simplifying 35 = r + -6 + 7r Reorder the terms: 35 = -6 + r + 7r Combine like terms: r + 7r = 8r 35 = -6 + 8r Solving 35 = -6 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 35 + -8r = -6 + 8r + -8r Combine like terms: 8r + -8r = 0 35 + -8r = -6 + 0 35 + -8r = -6 Add '-35' to each side of the equation. 35 + -35 + -8r = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -8r = -6 + -35 -8r = -6 + -35 Combine like terms: -6 + -35 = -41 -8r = -41 Divide each side by '-8'. r = 5.125 Simplifying r = 5.125
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