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Simplifying 12 = -1r + 7r + -6 Reorder the terms: 12 = -6 + -1r + 7r Combine like terms: -1r + 7r = 6r 12 = -6 + 6r Solving 12 = -6 + 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. 12 + -6r = -6 + 6r + -6r Combine like terms: 6r + -6r = 0 12 + -6r = -6 + 0 12 + -6r = -6 Add '-12' to each side of the equation. 12 + -12 + -6r = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6r = -6 + -12 -6r = -6 + -12 Combine like terms: -6 + -12 = -18 -6r = -18 Divide each side by '-6'. r = 3 Simplifying r = 3
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