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Simplifying 40 + r = 4 + -5(1 + 8r) 40 + r = 4 + (1 * -5 + 8r * -5) 40 + r = 4 + (-5 + -40r) Combine like terms: 4 + -5 = -1 40 + r = -1 + -40r Solving 40 + r = -1 + -40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40r' to each side of the equation. 40 + r + 40r = -1 + -40r + 40r Combine like terms: r + 40r = 41r 40 + 41r = -1 + -40r + 40r Combine like terms: -40r + 40r = 0 40 + 41r = -1 + 0 40 + 41r = -1 Add '-40' to each side of the equation. 40 + -40 + 41r = -1 + -40 Combine like terms: 40 + -40 = 0 0 + 41r = -1 + -40 41r = -1 + -40 Combine like terms: -1 + -40 = -41 41r = -41 Divide each side by '41'. r = -1 Simplifying r = -1
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