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Simplifying -119 = -7(1 + -1v) + 7r -119 = (1 * -7 + -1v * -7) + 7r -119 = (-7 + 7v) + 7r Reorder the terms: -119 = -7 + 7r + 7v Solving -119 = -7 + 7r + 7v Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -119 + -7r = -7 + 7r + -7r + 7v Combine like terms: 7r + -7r = 0 -119 + -7r = -7 + 0 + 7v -119 + -7r = -7 + 7v Add '119' to each side of the equation. -119 + 119 + -7r = -7 + 119 + 7v Combine like terms: -119 + 119 = 0 0 + -7r = -7 + 119 + 7v -7r = -7 + 119 + 7v Combine like terms: -7 + 119 = 112 -7r = 112 + 7v Divide each side by '-7'. r = -16 + -1v Simplifying r = -16 + -1v
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