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Simplifying -315 = -7(1 + 7r) + 5r -315 = (1 * -7 + 7r * -7) + 5r -315 = (-7 + -49r) + 5r Combine like terms: -49r + 5r = -44r -315 = -7 + -44r Solving -315 = -7 + -44r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '44r' to each side of the equation. -315 + 44r = -7 + -44r + 44r Combine like terms: -44r + 44r = 0 -315 + 44r = -7 + 0 -315 + 44r = -7 Add '315' to each side of the equation. -315 + 315 + 44r = -7 + 315 Combine like terms: -315 + 315 = 0 0 + 44r = -7 + 315 44r = -7 + 315 Combine like terms: -7 + 315 = 308 44r = 308 Divide each side by '44'. r = 7 Simplifying r = 7
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