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Simplifying 102 = s + 6 + s + 6 + s + s + 2s Reorder the terms: 102 = 6 + 6 + s + s + s + s + 2s Combine like terms: 6 + 6 = 12 102 = 12 + s + s + s + s + 2s Combine like terms: s + s = 2s 102 = 12 + 2s + s + s + 2s Combine like terms: 2s + s = 3s 102 = 12 + 3s + s + 2s Combine like terms: 3s + s = 4s 102 = 12 + 4s + 2s Combine like terms: 4s + 2s = 6s 102 = 12 + 6s Solving 102 = 12 + 6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6s' to each side of the equation. 102 + -6s = 12 + 6s + -6s Combine like terms: 6s + -6s = 0 102 + -6s = 12 + 0 102 + -6s = 12 Add '-102' to each side of the equation. 102 + -102 + -6s = 12 + -102 Combine like terms: 102 + -102 = 0 0 + -6s = 12 + -102 -6s = 12 + -102 Combine like terms: 12 + -102 = -90 -6s = -90 Divide each side by '-6'. s = 15 Simplifying s = 15
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