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Simplifying 10r + -24 = 7r + 12 Reorder the terms: -24 + 10r = 7r + 12 Reorder the terms: -24 + 10r = 12 + 7r Solving -24 + 10r = 12 + 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. -24 + 10r + -7r = 12 + 7r + -7r Combine like terms: 10r + -7r = 3r -24 + 3r = 12 + 7r + -7r Combine like terms: 7r + -7r = 0 -24 + 3r = 12 + 0 -24 + 3r = 12 Add '24' to each side of the equation. -24 + 24 + 3r = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 3r = 12 + 24 3r = 12 + 24 Combine like terms: 12 + 24 = 36 3r = 36 Divide each side by '3'. r = 12 Simplifying r = 12
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