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Simplifying 1r + 12 = -5r + -6 Reorder the terms: 12 + 1r = -5r + -6 Reorder the terms: 12 + 1r = -6 + -5r Solving 12 + 1r = -6 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 12 + 1r + 5r = -6 + -5r + 5r Combine like terms: 1r + 5r = 6r 12 + 6r = -6 + -5r + 5r Combine like terms: -5r + 5r = 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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