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Simplifying 7r + -4r + 1 = 9r + 1 + -1r Reorder the terms: 1 + 7r + -4r = 9r + 1 + -1r Combine like terms: 7r + -4r = 3r 1 + 3r = 9r + 1 + -1r Reorder the terms: 1 + 3r = 1 + 9r + -1r Combine like terms: 9r + -1r = 8r 1 + 3r = 1 + 8r Add '-1' to each side of the equation. 1 + -1 + 3r = 1 + -1 + 8r Combine like terms: 1 + -1 = 0 0 + 3r = 1 + -1 + 8r 3r = 1 + -1 + 8r Combine like terms: 1 + -1 = 0 3r = 0 + 8r 3r = 8r Solving 3r = 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 3r + -8r = 8r + -8r Combine like terms: 3r + -8r = -5r -5r = 8r + -8r Combine like terms: 8r + -8r = 0 -5r = 0 Divide each side by '-5'. r = 0 Simplifying r = 0
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