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Simplifying 8 + 16r + -7 = 9r + 57 + -7r Reorder the terms: 8 + -7 + 16r = 9r + 57 + -7r Combine like terms: 8 + -7 = 1 1 + 16r = 9r + 57 + -7r Reorder the terms: 1 + 16r = 57 + 9r + -7r Combine like terms: 9r + -7r = 2r 1 + 16r = 57 + 2r Solving 1 + 16r = 57 + 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 + 16r + -2r = 57 + 2r + -2r Combine like terms: 16r + -2r = 14r 1 + 14r = 57 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 14r = 57 + 0 1 + 14r = 57 Add '-1' to each side of the equation. 1 + -1 + 14r = 57 + -1 Combine like terms: 1 + -1 = 0 0 + 14r = 57 + -1 14r = 57 + -1 Combine like terms: 57 + -1 = 56 14r = 56 Divide each side by '14'. r = 4 Simplifying r = 4
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