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Simplifying 12r + -7 = 6r + 17 Reorder the terms: -7 + 12r = 6r + 17 Reorder the terms: -7 + 12r = 17 + 6r Solving -7 + 12r = 17 + 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. -7 + 12r + -6r = 17 + 6r + -6r Combine like terms: 12r + -6r = 6r -7 + 6r = 17 + 6r + -6r Combine like terms: 6r + -6r = 0 -7 + 6r = 17 + 0 -7 + 6r = 17 Add '7' to each side of the equation. -7 + 7 + 6r = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 6r = 17 + 7 6r = 17 + 7 Combine like terms: 17 + 7 = 24 6r = 24 Divide each side by '6'. r = 4 Simplifying r = 4
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