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Simplifying -379 = -5(8r + 7) + -3r Reorder the terms: -379 = -5(7 + 8r) + -3r -379 = (7 * -5 + 8r * -5) + -3r -379 = (-35 + -40r) + -3r Combine like terms: -40r + -3r = -43r -379 = -35 + -43r Solving -379 = -35 + -43r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '43r' to each side of the equation. -379 + 43r = -35 + -43r + 43r Combine like terms: -43r + 43r = 0 -379 + 43r = -35 + 0 -379 + 43r = -35 Add '379' to each side of the equation. -379 + 379 + 43r = -35 + 379 Combine like terms: -379 + 379 = 0 0 + 43r = -35 + 379 43r = -35 + 379 Combine like terms: -35 + 379 = 344 43r = 344 Divide each side by '43'. r = 8 Simplifying r = 8
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