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Simplifying 3r + -4 = 6 + -7r Reorder the terms: -4 + 3r = 6 + -7r Solving -4 + 3r = 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. -4 + 3r + 7r = 6 + -7r + 7r Combine like terms: 3r + 7r = 10r -4 + 10r = 6 + -7r + 7r Combine like terms: -7r + 7r = 0 -4 + 10r = 6 + 0 -4 + 10r = 6 Add '4' to each side of the equation. -4 + 4 + 10r = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 10r = 6 + 4 10r = 6 + 4 Combine like terms: 6 + 4 = 10 10r = 10 Divide each side by '10'. r = 1 Simplifying r = 1
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