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Simplifying 6(4 + -6s) = -2(4s + 16) (4 * 6 + -6s * 6) = -2(4s + 16) (24 + -36s) = -2(4s + 16) Reorder the terms: 24 + -36s = -2(16 + 4s) 24 + -36s = (16 * -2 + 4s * -2) 24 + -36s = (-32 + -8s) Solving 24 + -36s = -32 + -8s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '8s' to each side of the equation. 24 + -36s + 8s = -32 + -8s + 8s Combine like terms: -36s + 8s = -28s 24 + -28s = -32 + -8s + 8s Combine like terms: -8s + 8s = 0 24 + -28s = -32 + 0 24 + -28s = -32 Add '-24' to each side of the equation. 24 + -24 + -28s = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -28s = -32 + -24 -28s = -32 + -24 Combine like terms: -32 + -24 = -56 -28s = -56 Divide each side by '-28'. s = 2 Simplifying s = 2
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