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Simplifying 3s + 12 + s = 10 + 6s + -8 Reorder the terms: 12 + 3s + s = 10 + 6s + -8 Combine like terms: 3s + s = 4s 12 + 4s = 10 + 6s + -8 Reorder the terms: 12 + 4s = 10 + -8 + 6s Combine like terms: 10 + -8 = 2 12 + 4s = 2 + 6s Solving 12 + 4s = 2 + 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. 12 + 4s + -6s = 2 + 6s + -6s Combine like terms: 4s + -6s = -2s 12 + -2s = 2 + 6s + -6s Combine like terms: 6s + -6s = 0 12 + -2s = 2 + 0 12 + -2s = 2 Add '-12' to each side of the equation. 12 + -12 + -2s = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2s = 2 + -12 -2s = 2 + -12 Combine like terms: 2 + -12 = -10 -2s = -10 Divide each side by '-2'. s = 5 Simplifying s = 5
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