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Simplifying 3 + 4r + -2 = 9r + 10 + -4r Reorder the terms: 3 + -2 + 4r = 9r + 10 + -4r Combine like terms: 3 + -2 = 1 1 + 4r = 9r + 10 + -4r Reorder the terms: 1 + 4r = 10 + 9r + -4r Combine like terms: 9r + -4r = 5r 1 + 4r = 10 + 5r Solving 1 + 4r = 10 + 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 + 4r + -5r = 10 + 5r + -5r Combine like terms: 4r + -5r = -1r 1 + -1r = 10 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + -1r = 10 + 0 1 + -1r = 10 Add '-1' to each side of the equation. 1 + -1 + -1r = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 10 + -1 -1r = 10 + -1 Combine like terms: 10 + -1 = 9 -1r = 9 Divide each side by '-1'. r = -9 Simplifying r = -9
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