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Simplifying 8 + 11r + -1 = 8r + 16 + -6r Reorder the terms: 8 + -1 + 11r = 8r + 16 + -6r Combine like terms: 8 + -1 = 7 7 + 11r = 8r + 16 + -6r Reorder the terms: 7 + 11r = 16 + 8r + -6r Combine like terms: 8r + -6r = 2r 7 + 11r = 16 + 2r Solving 7 + 11r = 16 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 7 + 11r + -2r = 16 + 2r + -2r Combine like terms: 11r + -2r = 9r 7 + 9r = 16 + 2r + -2r Combine like terms: 2r + -2r = 0 7 + 9r = 16 + 0 7 + 9r = 16 Add '-7' to each side of the equation. 7 + -7 + 9r = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 9r = 16 + -7 9r = 16 + -7 Combine like terms: 16 + -7 = 9 9r = 9 Divide each side by '9'. r = 1 Simplifying r = 1
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