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Simplifying 8(2s + 3) = -4(5s + 4) Reorder the terms: 8(3 + 2s) = -4(5s + 4) (3 * 8 + 2s * 8) = -4(5s + 4) (24 + 16s) = -4(5s + 4) Reorder the terms: 24 + 16s = -4(4 + 5s) 24 + 16s = (4 * -4 + 5s * -4) 24 + 16s = (-16 + -20s) Solving 24 + 16s = -16 + -20s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '20s' to each side of the equation. 24 + 16s + 20s = -16 + -20s + 20s Combine like terms: 16s + 20s = 36s 24 + 36s = -16 + -20s + 20s Combine like terms: -20s + 20s = 0 24 + 36s = -16 + 0 24 + 36s = -16 Add '-24' to each side of the equation. 24 + -24 + 36s = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 36s = -16 + -24 36s = -16 + -24 Combine like terms: -16 + -24 = -40 36s = -40 Divide each side by '36'. s = -1.111111111 Simplifying s = -1.111111111
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