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Simplifying r2 + 196 = r2 + 14r + 49 Reorder the terms: 196 + r2 = r2 + 14r + 49 Reorder the terms: 196 + r2 = 49 + 14r + r2 Add '-1r2' to each side of the equation. 196 + r2 + -1r2 = 49 + 14r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 196 + 0 = 49 + 14r + r2 + -1r2 196 = 49 + 14r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 196 = 49 + 14r + 0 196 = 49 + 14r Solving 196 = 49 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 196 + -14r = 49 + 14r + -14r Combine like terms: 14r + -14r = 0 196 + -14r = 49 + 0 196 + -14r = 49 Add '-196' to each side of the equation. 196 + -196 + -14r = 49 + -196 Combine like terms: 196 + -196 = 0 0 + -14r = 49 + -196 -14r = 49 + -196 Combine like terms: 49 + -196 = -147 -14r = -147 Divide each side by '-14'. r = 10.5 Simplifying r = 10.5
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