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Simplifying 10r + 12 = -6 + 7r Reorder the terms: 12 + 10r = -6 + 7r Solving 12 + 10r = -6 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 12 + 10r + -7r = -6 + 7r + -7r Combine like terms: 10r + -7r = 3r 12 + 3r = -6 + 7r + -7r Combine like terms: 7r + -7r = 0 12 + 3r = -6 + 0 12 + 3r = -6 Add '-12' to each side of the equation. 12 + -12 + 3r = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3r = -6 + -12 3r = -6 + -12 Combine like terms: -6 + -12 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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