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Simplifying 7r + 4r + -7 = 5r + -19 Reorder the terms: -7 + 7r + 4r = 5r + -19 Combine like terms: 7r + 4r = 11r -7 + 11r = 5r + -19 Reorder the terms: -7 + 11r = -19 + 5r Solving -7 + 11r = -19 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -7 + 11r + -5r = -19 + 5r + -5r Combine like terms: 11r + -5r = 6r -7 + 6r = -19 + 5r + -5r Combine like terms: 5r + -5r = 0 -7 + 6r = -19 + 0 -7 + 6r = -19 Add '7' to each side of the equation. -7 + 7 + 6r = -19 + 7 Combine like terms: -7 + 7 = 0 0 + 6r = -19 + 7 6r = -19 + 7 Combine like terms: -19 + 7 = -12 6r = -12 Divide each side by '6'. r = -2 Simplifying r = -2
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