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Simplifying -2(-3 + -16s) = 3(12s + 10) (-3 * -2 + -16s * -2) = 3(12s + 10) (6 + 32s) = 3(12s + 10) Reorder the terms: 6 + 32s = 3(10 + 12s) 6 + 32s = (10 * 3 + 12s * 3) 6 + 32s = (30 + 36s) Solving 6 + 32s = 30 + 36s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-36s' to each side of the equation. 6 + 32s + -36s = 30 + 36s + -36s Combine like terms: 32s + -36s = -4s 6 + -4s = 30 + 36s + -36s Combine like terms: 36s + -36s = 0 6 + -4s = 30 + 0 6 + -4s = 30 Add '-6' to each side of the equation. 6 + -6 + -4s = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -4s = 30 + -6 -4s = 30 + -6 Combine like terms: 30 + -6 = 24 -4s = 24 Divide each side by '-4'. s = -6 Simplifying s = -6
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