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Simplifying -345 = 3 + -6(2 + 8r) -345 = 3 + (2 * -6 + 8r * -6) -345 = 3 + (-12 + -48r) Combine like terms: 3 + -12 = -9 -345 = -9 + -48r Solving -345 = -9 + -48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48r' to each side of the equation. -345 + 48r = -9 + -48r + 48r Combine like terms: -48r + 48r = 0 -345 + 48r = -9 + 0 -345 + 48r = -9 Add '345' to each side of the equation. -345 + 345 + 48r = -9 + 345 Combine like terms: -345 + 345 = 0 0 + 48r = -9 + 345 48r = -9 + 345 Combine like terms: -9 + 345 = 336 48r = 336 Divide each side by '48'. r = 7 Simplifying r = 7
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