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Simplifying 6r + -14 = 7(-5r + -2) Reorder the terms: -14 + 6r = 7(-5r + -2) Reorder the terms: -14 + 6r = 7(-2 + -5r) -14 + 6r = (-2 * 7 + -5r * 7) -14 + 6r = (-14 + -35r) Add '14' to each side of the equation. -14 + 14 + 6r = -14 + 14 + -35r Combine like terms: -14 + 14 = 0 0 + 6r = -14 + 14 + -35r 6r = -14 + 14 + -35r Combine like terms: -14 + 14 = 0 6r = 0 + -35r 6r = -35r Solving 6r = -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. 6r + 35r = -35r + 35r Combine like terms: 6r + 35r = 41r 41r = -35r + 35r Combine like terms: -35r + 35r = 0 41r = 0 Divide each side by '41'. r = 0 Simplifying r = 0
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