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Simplifying 8(1 + 5r) + -7r = 35 + 6r (1 * 8 + 5r * 8) + -7r = 35 + 6r (8 + 40r) + -7r = 35 + 6r Combine like terms: 40r + -7r = 33r 8 + 33r = 35 + 6r Solving 8 + 33r = 35 + 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. 8 + 33r + -6r = 35 + 6r + -6r Combine like terms: 33r + -6r = 27r 8 + 27r = 35 + 6r + -6r Combine like terms: 6r + -6r = 0 8 + 27r = 35 + 0 8 + 27r = 35 Add '-8' to each side of the equation. 8 + -8 + 27r = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 27r = 35 + -8 27r = 35 + -8 Combine like terms: 35 + -8 = 27 27r = 27 Divide each side by '27'. r = 1 Simplifying r = 1
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