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Simplifying 3(4s + 2) = 32 + -7s Reorder the terms: 3(2 + 4s) = 32 + -7s (2 * 3 + 4s * 3) = 32 + -7s (6 + 12s) = 32 + -7s Solving 6 + 12s = 32 + -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. 6 + 12s + 7s = 32 + -7s + 7s Combine like terms: 12s + 7s = 19s 6 + 19s = 32 + -7s + 7s Combine like terms: -7s + 7s = 0 6 + 19s = 32 + 0 6 + 19s = 32 Add '-6' to each side of the equation. 6 + -6 + 19s = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 19s = 32 + -6 19s = 32 + -6 Combine like terms: 32 + -6 = 26 19s = 26 Divide each side by '19'. s = 1.368421053 Simplifying s = 1.368421053
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