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Simplifying 38 + 3r = -5(1 + 8r) 38 + 3r = (1 * -5 + 8r * -5) 38 + 3r = (-5 + -40r) Solving 38 + 3r = -5 + -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. 38 + 3r + 40r = -5 + -40r + 40r Combine like terms: 3r + 40r = 43r 38 + 43r = -5 + -40r + 40r Combine like terms: -40r + 40r = 0 38 + 43r = -5 + 0 38 + 43r = -5 Add '-38' to each side of the equation. 38 + -38 + 43r = -5 + -38 Combine like terms: 38 + -38 = 0 0 + 43r = -5 + -38 43r = -5 + -38 Combine like terms: -5 + -38 = -43 43r = -43 Divide each side by '43'. r = -1 Simplifying r = -1
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