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Simplifying -5(6s + 9) + 4(s + -8) = 0 Reorder the terms: -5(9 + 6s) + 4(s + -8) = 0 (9 * -5 + 6s * -5) + 4(s + -8) = 0 (-45 + -30s) + 4(s + -8) = 0 Reorder the terms: -45 + -30s + 4(-8 + s) = 0 -45 + -30s + (-8 * 4 + s * 4) = 0 -45 + -30s + (-32 + 4s) = 0 Reorder the terms: -45 + -32 + -30s + 4s = 0 Combine like terms: -45 + -32 = -77 -77 + -30s + 4s = 0 Combine like terms: -30s + 4s = -26s -77 + -26s = 0 Solving -77 + -26s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -26s = 0 + 77 Combine like terms: -77 + 77 = 0 0 + -26s = 0 + 77 -26s = 0 + 77 Combine like terms: 0 + 77 = 77 -26s = 77 Divide each side by '-26'. s = -2.961538462 Simplifying s = -2.961538462
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