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Simplifying 4(s + 1) = 12(s + 3) Reorder the terms: 4(1 + s) = 12(s + 3) (1 * 4 + s * 4) = 12(s + 3) (4 + 4s) = 12(s + 3) Reorder the terms: 4 + 4s = 12(3 + s) 4 + 4s = (3 * 12 + s * 12) 4 + 4s = (36 + 12s) Solving 4 + 4s = 36 + 12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-12s' to each side of the equation. 4 + 4s + -12s = 36 + 12s + -12s Combine like terms: 4s + -12s = -8s 4 + -8s = 36 + 12s + -12s Combine like terms: 12s + -12s = 0 4 + -8s = 36 + 0 4 + -8s = 36 Add '-4' to each side of the equation. 4 + -4 + -8s = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -8s = 36 + -4 -8s = 36 + -4 Combine like terms: 36 + -4 = 32 -8s = 32 Divide each side by '-8'. s = -4 Simplifying s = -4
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