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Simplifying 7 + 4r + -1r + 9(2 + r) = 0 7 + 4r + -1r + (2 * 9 + r * 9) = 0 7 + 4r + -1r + (18 + 9r) = 0 Reorder the terms: 7 + 18 + 4r + -1r + 9r = 0 Combine like terms: 7 + 18 = 25 25 + 4r + -1r + 9r = 0 Combine like terms: 4r + -1r = 3r 25 + 3r + 9r = 0 Combine like terms: 3r + 9r = 12r 25 + 12r = 0 Solving 25 + 12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 12r = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 12r = 0 + -25 12r = 0 + -25 Combine like terms: 0 + -25 = -25 12r = -25 Divide each side by '12'. r = -2.083333333 Simplifying r = -2.083333333
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