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Simplifying r + 10 = 7r + -14 Reorder the terms: 10 + r = 7r + -14 Reorder the terms: 10 + r = -14 + 7r Solving 10 + r = -14 + 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. 10 + r + -7r = -14 + 7r + -7r Combine like terms: r + -7r = -6r 10 + -6r = -14 + 7r + -7r Combine like terms: 7r + -7r = 0 10 + -6r = -14 + 0 10 + -6r = -14 Add '-10' to each side of the equation. 10 + -10 + -6r = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6r = -14 + -10 -6r = -14 + -10 Combine like terms: -14 + -10 = -24 -6r = -24 Divide each side by '-6'. r = 4 Simplifying r = 4
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