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Simplifying 5(6 + 7r) = -10 + -5r (6 * 5 + 7r * 5) = -10 + -5r (30 + 35r) = -10 + -5r Solving 30 + 35r = -10 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 30 + 35r + 5r = -10 + -5r + 5r Combine like terms: 35r + 5r = 40r 30 + 40r = -10 + -5r + 5r Combine like terms: -5r + 5r = 0 30 + 40r = -10 + 0 30 + 40r = -10 Add '-30' to each side of the equation. 30 + -30 + 40r = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 40r = -10 + -30 40r = -10 + -30 Combine like terms: -10 + -30 = -40 40r = -40 Divide each side by '40'. r = -1 Simplifying r = -1
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