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Simplifying -6(r + -5) + 7r = 10 + 6r Reorder the terms: -6(-5 + r) + 7r = 10 + 6r (-5 * -6 + r * -6) + 7r = 10 + 6r (30 + -6r) + 7r = 10 + 6r Combine like terms: -6r + 7r = 1r 30 + 1r = 10 + 6r Solving 30 + 1r = 10 + 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. 30 + 1r + -6r = 10 + 6r + -6r Combine like terms: 1r + -6r = -5r 30 + -5r = 10 + 6r + -6r Combine like terms: 6r + -6r = 0 30 + -5r = 10 + 0 30 + -5r = 10 Add '-30' to each side of the equation. 30 + -30 + -5r = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -5r = 10 + -30 -5r = 10 + -30 Combine like terms: 10 + -30 = -20 -5r = -20 Divide each side by '-5'. r = 4 Simplifying r = 4
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