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Simplifying 6r + 14 = 7r + 4 + 4 Reorder the terms: 14 + 6r = 7r + 4 + 4 Reorder the terms: 14 + 6r = 4 + 4 + 7r Combine like terms: 4 + 4 = 8 14 + 6r = 8 + 7r Solving 14 + 6r = 8 + 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. 14 + 6r + -7r = 8 + 7r + -7r Combine like terms: 6r + -7r = -1r 14 + -1r = 8 + 7r + -7r Combine like terms: 7r + -7r = 0 14 + -1r = 8 + 0 14 + -1r = 8 Add '-14' to each side of the equation. 14 + -14 + -1r = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 8 + -14 -1r = 8 + -14 Combine like terms: 8 + -14 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6
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