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Simplifying -14 = r + 1 + -6r Reorder the terms: -14 = 1 + r + -6r Combine like terms: r + -6r = -5r -14 = 1 + -5r Solving -14 = 1 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -14 + 5r = 1 + -5r + 5r Combine like terms: -5r + 5r = 0 -14 + 5r = 1 + 0 -14 + 5r = 1 Add '14' to each side of the equation. -14 + 14 + 5r = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 5r = 1 + 14 5r = 1 + 14 Combine like terms: 1 + 14 = 15 5r = 15 Divide each side by '5'. r = 3 Simplifying r = 3
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