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Simplifying 5s + 4(4 + -1s) = 9 + -1(s + -6) 5s + (4 * 4 + -1s * 4) = 9 + -1(s + -6) 5s + (16 + -4s) = 9 + -1(s + -6) Reorder the terms: 16 + 5s + -4s = 9 + -1(s + -6) Combine like terms: 5s + -4s = 1s 16 + 1s = 9 + -1(s + -6) Reorder the terms: 16 + 1s = 9 + -1(-6 + s) 16 + 1s = 9 + (-6 * -1 + s * -1) 16 + 1s = 9 + (6 + -1s) Combine like terms: 9 + 6 = 15 16 + 1s = 15 + -1s Solving 16 + 1s = 15 + -1s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add 's' to each side of the equation. 16 + 1s + s = 15 + -1s + s Combine like terms: 1s + s = 2s 16 + 2s = 15 + -1s + s Combine like terms: -1s + s = 0 16 + 2s = 15 + 0 16 + 2s = 15 Add '-16' to each side of the equation. 16 + -16 + 2s = 15 + -16 Combine like terms: 16 + -16 = 0 0 + 2s = 15 + -16 2s = 15 + -16 Combine like terms: 15 + -16 = -1 2s = -1 Divide each side by '2'. s = -0.5 Simplifying s = -0.5
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