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Simplifying 7s + -1(3s + 1) = 12 + s Reorder the terms: 7s + -1(1 + 3s) = 12 + s 7s + (1 * -1 + 3s * -1) = 12 + s 7s + (-1 + -3s) = 12 + s Reorder the terms: -1 + 7s + -3s = 12 + s Combine like terms: 7s + -3s = 4s -1 + 4s = 12 + s Solving -1 + 4s = 12 + s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1s' to each side of the equation. -1 + 4s + -1s = 12 + s + -1s Combine like terms: 4s + -1s = 3s -1 + 3s = 12 + s + -1s Combine like terms: s + -1s = 0 -1 + 3s = 12 + 0 -1 + 3s = 12 Add '1' to each side of the equation. -1 + 1 + 3s = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 3s = 12 + 1 3s = 12 + 1 Combine like terms: 12 + 1 = 13 3s = 13 Divide each side by '3'. s = 4.333333333 Simplifying s = 4.333333333
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