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Simplifying r + 14 = 2r + 6 Reorder the terms: 14 + r = 2r + 6 Reorder the terms: 14 + r = 6 + 2r Solving 14 + r = 6 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 14 + r + -2r = 6 + 2r + -2r Combine like terms: r + -2r = -1r 14 + -1r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 14 + -1r = 6 + 0 14 + -1r = 6 Add '-14' to each side of the equation. 14 + -14 + -1r = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 6 + -14 -1r = 6 + -14 Combine like terms: 6 + -14 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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