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Simplifying 5(7 + 8r) + -2r = -9 + -6r (7 * 5 + 8r * 5) + -2r = -9 + -6r (35 + 40r) + -2r = -9 + -6r Combine like terms: 40r + -2r = 38r 35 + 38r = -9 + -6r Solving 35 + 38r = -9 + -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. 35 + 38r + 6r = -9 + -6r + 6r Combine like terms: 38r + 6r = 44r 35 + 44r = -9 + -6r + 6r Combine like terms: -6r + 6r = 0 35 + 44r = -9 + 0 35 + 44r = -9 Add '-35' to each side of the equation. 35 + -35 + 44r = -9 + -35 Combine like terms: 35 + -35 = 0 0 + 44r = -9 + -35 44r = -9 + -35 Combine like terms: -9 + -35 = -44 44r = -44 Divide each side by '44'. r = -1 Simplifying r = -1
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