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Simplifying 6s + -82 = 2(3 + -6s) + -4s Reorder the terms: -82 + 6s = 2(3 + -6s) + -4s -82 + 6s = (3 * 2 + -6s * 2) + -4s -82 + 6s = (6 + -12s) + -4s Combine like terms: -12s + -4s = -16s -82 + 6s = 6 + -16s Solving -82 + 6s = 6 + -16s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '16s' to each side of the equation. -82 + 6s + 16s = 6 + -16s + 16s Combine like terms: 6s + 16s = 22s -82 + 22s = 6 + -16s + 16s Combine like terms: -16s + 16s = 0 -82 + 22s = 6 + 0 -82 + 22s = 6 Add '82' to each side of the equation. -82 + 82 + 22s = 6 + 82 Combine like terms: -82 + 82 = 0 0 + 22s = 6 + 82 22s = 6 + 82 Combine like terms: 6 + 82 = 88 22s = 88 Divide each side by '22'. s = 4 Simplifying s = 4
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