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Simplifying 7(r + -5) + 6(r) = 0 Reorder the terms: 7(-5 + r) + 6(r) = 0 (-5 * 7 + r * 7) + 6(r) = 0 (-35 + 7r) + 6(r) = 0 Combine like terms: 7r + 6r = 13r -35 + 13r = 0 Solving -35 + 13r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 13r = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 13r = 0 + 35 13r = 0 + 35 Combine like terms: 0 + 35 = 35 13r = 35 Divide each side by '13'. r = 2.692307692 Simplifying r = 2.692307692
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