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Simplifying 6(20 + 4s) = 2(-12 + -12s) (20 * 6 + 4s * 6) = 2(-12 + -12s) (120 + 24s) = 2(-12 + -12s) 120 + 24s = (-12 * 2 + -12s * 2) 120 + 24s = (-24 + -24s) Solving 120 + 24s = -24 + -24s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '24s' to each side of the equation. 120 + 24s + 24s = -24 + -24s + 24s Combine like terms: 24s + 24s = 48s 120 + 48s = -24 + -24s + 24s Combine like terms: -24s + 24s = 0 120 + 48s = -24 + 0 120 + 48s = -24 Add '-120' to each side of the equation. 120 + -120 + 48s = -24 + -120 Combine like terms: 120 + -120 = 0 0 + 48s = -24 + -120 48s = -24 + -120 Combine like terms: -24 + -120 = -144 48s = -144 Divide each side by '48'. s = -3 Simplifying s = -3
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