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Simplifying -6(1 + 8r) + -3r = -414 (1 * -6 + 8r * -6) + -3r = -414 (-6 + -48r) + -3r = -414 Combine like terms: -48r + -3r = -51r -6 + -51r = -414 Solving -6 + -51r = -414 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -51r = -414 + 6 Combine like terms: -6 + 6 = 0 0 + -51r = -414 + 6 -51r = -414 + 6 Combine like terms: -414 + 6 = -408 -51r = -408 Divide each side by '-51'. r = 8 Simplifying r = 8
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