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Simplifying 5 + 19r + -4 = 7r + 43 + -2r Reorder the terms: 5 + -4 + 19r = 7r + 43 + -2r Combine like terms: 5 + -4 = 1 1 + 19r = 7r + 43 + -2r Reorder the terms: 1 + 19r = 43 + 7r + -2r Combine like terms: 7r + -2r = 5r 1 + 19r = 43 + 5r Solving 1 + 19r = 43 + 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. 1 + 19r + -5r = 43 + 5r + -5r Combine like terms: 19r + -5r = 14r 1 + 14r = 43 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + 14r = 43 + 0 1 + 14r = 43 Add '-1' to each side of the equation. 1 + -1 + 14r = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 14r = 43 + -1 14r = 43 + -1 Combine like terms: 43 + -1 = 42 14r = 42 Divide each side by '14'. r = 3 Simplifying r = 3
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