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Simplifying 9 = -1[r + -5] + 11 Reorder the terms: 9 = -1[-5 + r] + 11 9 = [-5 * -1 + r * -1] + 11 9 = [5 + -1r] + 11 Reorder the terms: 9 = 5 + 11 + -1r Combine like terms: 5 + 11 = 16 9 = 16 + -1r Solving 9 = 16 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 9 + r = 16 + -1r + r Combine like terms: -1r + r = 0 9 + r = 16 + 0 9 + r = 16 Add '-9' to each side of the equation. 9 + -9 + r = 16 + -9 Combine like terms: 9 + -9 = 0 0 + r = 16 + -9 r = 16 + -9 Combine like terms: 16 + -9 = 7 r = 7 Simplifying r = 7
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