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Simplifying -119 = 3(-8 + 4r) + 7r -119 = (-8 * 3 + 4r * 3) + 7r -119 = (-24 + 12r) + 7r Combine like terms: 12r + 7r = 19r -119 = -24 + 19r Solving -119 = -24 + 19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19r' to each side of the equation. -119 + -19r = -24 + 19r + -19r Combine like terms: 19r + -19r = 0 -119 + -19r = -24 + 0 -119 + -19r = -24 Add '119' to each side of the equation. -119 + 119 + -19r = -24 + 119 Combine like terms: -119 + 119 = 0 0 + -19r = -24 + 119 -19r = -24 + 119 Combine like terms: -24 + 119 = 95 -19r = 95 Divide each side by '-19'. r = -5 Simplifying r = -5
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