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Simplifying -302 = -5(4 + 8r) + -2 -302 = (4 * -5 + 8r * -5) + -2 -302 = (-20 + -40r) + -2 Reorder the terms: -302 = -20 + -2 + -40r Combine like terms: -20 + -2 = -22 -302 = -22 + -40r Solving -302 = -22 + -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. -302 + 40r = -22 + -40r + 40r Combine like terms: -40r + 40r = 0 -302 + 40r = -22 + 0 -302 + 40r = -22 Add '302' to each side of the equation. -302 + 302 + 40r = -22 + 302 Combine like terms: -302 + 302 = 0 0 + 40r = -22 + 302 40r = -22 + 302 Combine like terms: -22 + 302 = 280 40r = 280 Divide each side by '40'. r = 7 Simplifying r = 7
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