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Simplifying 2(s + 2) + ((s + 3)(s + 3)) = s(s + 5) + 2(8.5 + s) Reorder the terms: 2(2 + s) + ((s + 3)(s + 3)) = s(s + 5) + 2(8.5 + s) (2 * 2 + s * 2) + ((s + 3)(s + 3)) = s(s + 5) + 2(8.5 + s) (4 + 2s) + ((s + 3)(s + 3)) = s(s + 5) + 2(8.5 + s) Reorder the terms: 4 + 2s + ((3 + s)(s + 3)) = s(s + 5) + 2(8.5 + s) Reorder the terms: 4 + 2s + ((3 + s)(3 + s)) = s(s + 5) + 2(8.5 + s) Multiply (3 + s) * (3 + s) 4 + 2s + ((3(3 + s) + s(3 + s))) = s(s + 5) + 2(8.5 + s) 4 + 2s + (((3 * 3 + s * 3) + s(3 + s))) = s(s + 5) + 2(8.5 + s) 4 + 2s + (((9 + 3s) + s(3 + s))) = s(s + 5) + 2(8.5 + s) 4 + 2s + ((9 + 3s + (3 * s + s * s))) = s(s + 5) + 2(8.5 + s) 4 + 2s + ((9 + 3s + (3s + s2))) = s(s + 5) + 2(8.5 + s) Combine like terms: 3s + 3s = 6s 4 + 2s + ((9 + 6s + s2)) = s(s + 5) + 2(8.5 + s) 4 + 2s + (9 + 6s + s2) = s(s + 5) + 2(8.5 + s) Remove parenthesis around (9 + 6s + s2) 4 + 2s + 9 + 6s + s2 = s(s + 5) + 2(8.5 + s) Reorder the terms: 4 + 9 + 2s + 6s + s2 = s(s + 5) + 2(8.5 + s) Combine like terms: 4 + 9 = 13 13 + 2s + 6s + s2 = s(s + 5) + 2(8.5 + s) Combine like terms: 2s + 6s = 8s 13 + 8s + s2 = s(s + 5) + 2(8.5 + s) Reorder the terms: 13 + 8s + s2 = s(5 + s) + 2(8.5 + s) 13 + 8s + s2 = (5 * s + s * s) + 2(8.5 + s) 13 + 8s + s2 = (5s + s2) + 2(8.5 + s) 13 + 8s + s2 = 5s + s2 + (8.5 * 2 + s * 2) 13 + 8s + s2 = 5s + s2 + (17 + 2s) Reorder the terms: 13 + 8s + s2 = 17 + 5s + 2s + s2 Combine like terms: 5s + 2s = 7s 13 + 8s + s2 = 17 + 7s + s2 Add '-1s2' to each side of the equation. 13 + 8s + s2 + -1s2 = 17 + 7s + s2 + -1s2 Combine like terms: s2 + -1s2 = 0 13 + 8s + 0 = 17 + 7s + s2 + -1s2 13 + 8s = 17 + 7s + s2 + -1s2 Combine like terms: s2 + -1s2 = 0 13 + 8s = 17 + 7s + 0 13 + 8s = 17 + 7s Solving 13 + 8s = 17 + 7s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-7s' to each side of the equation. 13 + 8s + -7s = 17 + 7s + -7s Combine like terms: 8s + -7s = 1s 13 + 1s = 17 + 7s + -7s Combine like terms: 7s + -7s = 0 13 + 1s = 17 + 0 13 + 1s = 17 Add '-13' to each side of the equation. 13 + -13 + 1s = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 1s = 17 + -13 1s = 17 + -13 Combine like terms: 17 + -13 = 4 1s = 4 Divide each side by '1'. s = 4 Simplifying s = 4
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