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Simplifying (18)(18) + (r)(r) = (r + 6)(r + 6) Multiply 18 * 18 324 + (r)(r) = (r + 6)(r + 6) Multiply r * r 324 + r2 = (r + 6)(r + 6) Reorder the terms: 324 + r2 = (6 + r)(r + 6) Reorder the terms: 324 + r2 = (6 + r)(6 + r) Multiply (6 + r) * (6 + r) 324 + r2 = (6(6 + r) + r(6 + r)) 324 + r2 = ((6 * 6 + r * 6) + r(6 + r)) 324 + r2 = ((36 + 6r) + r(6 + r)) 324 + r2 = (36 + 6r + (6 * r + r * r)) 324 + r2 = (36 + 6r + (6r + r2)) Combine like terms: 6r + 6r = 12r 324 + r2 = (36 + 12r + r2) Add '-1r2' to each side of the equation. 324 + r2 + -1r2 = 36 + 12r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 324 + 0 = 36 + 12r + r2 + -1r2 324 = 36 + 12r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 324 = 36 + 12r + 0 324 = 36 + 12r Solving 324 = 36 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 324 + -12r = 36 + 12r + -12r Combine like terms: 12r + -12r = 0 324 + -12r = 36 + 0 324 + -12r = 36 Add '-324' to each side of the equation. 324 + -324 + -12r = 36 + -324 Combine like terms: 324 + -324 = 0 0 + -12r = 36 + -324 -12r = 36 + -324 Combine like terms: 36 + -324 = -288 -12r = -288 Divide each side by '-12'. r = 24 Simplifying r = 24
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