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Simplifying 5(s + 6) + -8 = 2.9s + -5 Reorder the terms: 5(6 + s) + -8 = 2.9s + -5 (6 * 5 + s * 5) + -8 = 2.9s + -5 (30 + 5s) + -8 = 2.9s + -5 Reorder the terms: 30 + -8 + 5s = 2.9s + -5 Combine like terms: 30 + -8 = 22 22 + 5s = 2.9s + -5 Reorder the terms: 22 + 5s = -5 + 2.9s Solving 22 + 5s = -5 + 2.9s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-2.9s' to each side of the equation. 22 + 5s + -2.9s = -5 + 2.9s + -2.9s Combine like terms: 5s + -2.9s = 2.1s 22 + 2.1s = -5 + 2.9s + -2.9s Combine like terms: 2.9s + -2.9s = 0.0 22 + 2.1s = -5 + 0.0 22 + 2.1s = -5 Add '-22' to each side of the equation. 22 + -22 + 2.1s = -5 + -22 Combine like terms: 22 + -22 = 0 0 + 2.1s = -5 + -22 2.1s = -5 + -22 Combine like terms: -5 + -22 = -27 2.1s = -27 Divide each side by '2.1'. s = -12.85714286 Simplifying s = -12.85714286
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