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Simplifying -5(8r + -2) + 2 = 312 Reorder the terms: -5(-2 + 8r) + 2 = 312 (-2 * -5 + 8r * -5) + 2 = 312 (10 + -40r) + 2 = 312 Reorder the terms: 10 + 2 + -40r = 312 Combine like terms: 10 + 2 = 12 12 + -40r = 312 Solving 12 + -40r = 312 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -40r = 312 + -12 Combine like terms: 12 + -12 = 0 0 + -40r = 312 + -12 -40r = 312 + -12 Combine like terms: 312 + -12 = 300 -40r = 300 Divide each side by '-40'. r = -7.5 Simplifying r = -7.5
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