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Simplifying 50 = 30(s + 16) + -2(s + -2) Reorder the terms: 50 = 30(16 + s) + -2(s + -2) 50 = (16 * 30 + s * 30) + -2(s + -2) 50 = (480 + 30s) + -2(s + -2) Reorder the terms: 50 = 480 + 30s + -2(-2 + s) 50 = 480 + 30s + (-2 * -2 + s * -2) 50 = 480 + 30s + (4 + -2s) Reorder the terms: 50 = 480 + 4 + 30s + -2s Combine like terms: 480 + 4 = 484 50 = 484 + 30s + -2s Combine like terms: 30s + -2s = 28s 50 = 484 + 28s Solving 50 = 484 + 28s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-28s' to each side of the equation. 50 + -28s = 484 + 28s + -28s Combine like terms: 28s + -28s = 0 50 + -28s = 484 + 0 50 + -28s = 484 Add '-50' to each side of the equation. 50 + -50 + -28s = 484 + -50 Combine like terms: 50 + -50 = 0 0 + -28s = 484 + -50 -28s = 484 + -50 Combine like terms: 484 + -50 = 434 -28s = 434 Divide each side by '-28'. s = -15.5 Simplifying s = -15.5
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