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Simplifying r + -4 + 6r = -14 + -3r Reorder the terms: -4 + r + 6r = -14 + -3r Combine like terms: r + 6r = 7r -4 + 7r = -14 + -3r Solving -4 + 7r = -14 + -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. -4 + 7r + 3r = -14 + -3r + 3r Combine like terms: 7r + 3r = 10r -4 + 10r = -14 + -3r + 3r Combine like terms: -3r + 3r = 0 -4 + 10r = -14 + 0 -4 + 10r = -14 Add '4' to each side of the equation. -4 + 4 + 10r = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 10r = -14 + 4 10r = -14 + 4 Combine like terms: -14 + 4 = -10 10r = -10 Divide each side by '10'. r = -1 Simplifying r = -1
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