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Simplifying 8 + 11r + -7 = 6r + 55 + -4r Reorder the terms: 8 + -7 + 11r = 6r + 55 + -4r Combine like terms: 8 + -7 = 1 1 + 11r = 6r + 55 + -4r Reorder the terms: 1 + 11r = 55 + 6r + -4r Combine like terms: 6r + -4r = 2r 1 + 11r = 55 + 2r Solving 1 + 11r = 55 + 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. 1 + 11r + -2r = 55 + 2r + -2r Combine like terms: 11r + -2r = 9r 1 + 9r = 55 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 9r = 55 + 0 1 + 9r = 55 Add '-1' to each side of the equation. 1 + -1 + 9r = 55 + -1 Combine like terms: 1 + -1 = 0 0 + 9r = 55 + -1 9r = 55 + -1 Combine like terms: 55 + -1 = 54 9r = 54 Divide each side by '9'. r = 6 Simplifying r = 6
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