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Simplifying -38 + -7r = -5(1 + 8r) -38 + -7r = (1 * -5 + 8r * -5) -38 + -7r = (-5 + -40r) Solving -38 + -7r = -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 + -7r + 40r = -5 + -40r + 40r Combine like terms: -7r + 40r = 33r -38 + 33r = -5 + -40r + 40r Combine like terms: -40r + 40r = 0 -38 + 33r = -5 + 0 -38 + 33r = -5 Add '38' to each side of the equation. -38 + 38 + 33r = -5 + 38 Combine like terms: -38 + 38 = 0 0 + 33r = -5 + 38 33r = -5 + 38 Combine like terms: -5 + 38 = 33 33r = 33 Divide each side by '33'. r = 1 Simplifying r = 1
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