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Simplifying 3r + 6 = -14 + r + 6r Reorder the terms: 6 + 3r = -14 + r + 6r Combine like terms: r + 6r = 7r 6 + 3r = -14 + 7r Solving 6 + 3r = -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. 6 + 3r + -7r = -14 + 7r + -7r Combine like terms: 3r + -7r = -4r 6 + -4r = -14 + 7r + -7r Combine like terms: 7r + -7r = 0 6 + -4r = -14 + 0 6 + -4r = -14 Add '-6' to each side of the equation. 6 + -6 + -4r = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -4r = -14 + -6 -4r = -14 + -6 Combine like terms: -14 + -6 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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