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Simplifying r2 + 81 = r2 + 6r + 9 Reorder the terms: 81 + r2 = r2 + 6r + 9 Reorder the terms: 81 + r2 = 9 + 6r + r2 Add '-1r2' to each side of the equation. 81 + r2 + -1r2 = 9 + 6r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 81 + 0 = 9 + 6r + r2 + -1r2 81 = 9 + 6r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 81 = 9 + 6r + 0 81 = 9 + 6r Solving 81 = 9 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 81 + -6r = 9 + 6r + -6r Combine like terms: 6r + -6r = 0 81 + -6r = 9 + 0 81 + -6r = 9 Add '-81' to each side of the equation. 81 + -81 + -6r = 9 + -81 Combine like terms: 81 + -81 = 0 0 + -6r = 9 + -81 -6r = 9 + -81 Combine like terms: 9 + -81 = -72 -6r = -72 Divide each side by '-6'. r = 12 Simplifying r = 12
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