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Simplifying 10r + -30 = 3r + -9 Reorder the terms: -30 + 10r = 3r + -9 Reorder the terms: -30 + 10r = -9 + 3r Solving -30 + 10r = -9 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -30 + 10r + -3r = -9 + 3r + -3r Combine like terms: 10r + -3r = 7r -30 + 7r = -9 + 3r + -3r Combine like terms: 3r + -3r = 0 -30 + 7r = -9 + 0 -30 + 7r = -9 Add '30' to each side of the equation. -30 + 30 + 7r = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 7r = -9 + 30 7r = -9 + 30 Combine like terms: -9 + 30 = 21 7r = 21 Divide each side by '7'. r = 3 Simplifying r = 3
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