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Simplifying 13r + -57 = 6r + 27 Reorder the terms: -57 + 13r = 6r + 27 Reorder the terms: -57 + 13r = 27 + 6r Solving -57 + 13r = 27 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -57 + 13r + -6r = 27 + 6r + -6r Combine like terms: 13r + -6r = 7r -57 + 7r = 27 + 6r + -6r Combine like terms: 6r + -6r = 0 -57 + 7r = 27 + 0 -57 + 7r = 27 Add '57' to each side of the equation. -57 + 57 + 7r = 27 + 57 Combine like terms: -57 + 57 = 0 0 + 7r = 27 + 57 7r = 27 + 57 Combine like terms: 27 + 57 = 84 7r = 84 Divide each side by '7'. r = 12 Simplifying r = 12
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