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Simplifying 6 + 3r + -5 = 9r + 15 + -4r Reorder the terms: 6 + -5 + 3r = 9r + 15 + -4r Combine like terms: 6 + -5 = 1 1 + 3r = 9r + 15 + -4r Reorder the terms: 1 + 3r = 15 + 9r + -4r Combine like terms: 9r + -4r = 5r 1 + 3r = 15 + 5r Solving 1 + 3r = 15 + 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 + 3r + -5r = 15 + 5r + -5r Combine like terms: 3r + -5r = -2r 1 + -2r = 15 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + -2r = 15 + 0 1 + -2r = 15 Add '-1' to each side of the equation. 1 + -1 + -2r = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = 15 + -1 -2r = 15 + -1 Combine like terms: 15 + -1 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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