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Simplifying 6(r + 5) + -5r = 14 + -8 Reorder the terms: 6(5 + r) + -5r = 14 + -8 (5 * 6 + r * 6) + -5r = 14 + -8 (30 + 6r) + -5r = 14 + -8 Combine like terms: 6r + -5r = 1r 30 + 1r = 14 + -8 Combine like terms: 14 + -8 = 6 30 + 1r = 6 Solving 30 + 1r = 6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1r = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 1r = 6 + -30 1r = 6 + -30 Combine like terms: 6 + -30 = -24 1r = -24 Divide each side by '1'. r = -24 Simplifying r = -24
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