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Simplifying 4 + 2(s + -4t) = 6(s + -4t) 4 + (s * 2 + -4t * 2) = 6(s + -4t) 4 + (2s + -8t) = 6(s + -4t) 4 + 2s + -8t = (s * 6 + -4t * 6) 4 + 2s + -8t = (6s + -24t) Solving 4 + 2s + -8t = 6s + -24t Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6s' to each side of the equation. 4 + 2s + -6s + -8t = 6s + -6s + -24t Combine like terms: 2s + -6s = -4s 4 + -4s + -8t = 6s + -6s + -24t Combine like terms: 6s + -6s = 0 4 + -4s + -8t = 0 + -24t 4 + -4s + -8t = -24t Add '-4' to each side of the equation. 4 + -4s + -4 + -8t = -4 + -24t Reorder the terms: 4 + -4 + -4s + -8t = -4 + -24t Combine like terms: 4 + -4 = 0 0 + -4s + -8t = -4 + -24t -4s + -8t = -4 + -24t Add '8t' to each side of the equation. -4s + -8t + 8t = -4 + -24t + 8t Combine like terms: -8t + 8t = 0 -4s + 0 = -4 + -24t + 8t -4s = -4 + -24t + 8t Combine like terms: -24t + 8t = -16t -4s = -4 + -16t Divide each side by '-4'. s = 1 + 4t Simplifying s = 1 + 4t
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