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Simplifying -2(4s + -1) + -2 = -2(6s + 8) + -2 Reorder the terms: -2(-1 + 4s) + -2 = -2(6s + 8) + -2 (-1 * -2 + 4s * -2) + -2 = -2(6s + 8) + -2 (2 + -8s) + -2 = -2(6s + 8) + -2 Reorder the terms: 2 + -2 + -8s = -2(6s + 8) + -2 Combine like terms: 2 + -2 = 0 0 + -8s = -2(6s + 8) + -2 -8s = -2(6s + 8) + -2 Reorder the terms: -8s = -2(8 + 6s) + -2 -8s = (8 * -2 + 6s * -2) + -2 -8s = (-16 + -12s) + -2 Reorder the terms: -8s = -16 + -2 + -12s Combine like terms: -16 + -2 = -18 -8s = -18 + -12s Solving -8s = -18 + -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. -8s + 12s = -18 + -12s + 12s Combine like terms: -8s + 12s = 4s 4s = -18 + -12s + 12s Combine like terms: -12s + 12s = 0 4s = -18 + 0 4s = -18 Divide each side by '4'. s = -4.5 Simplifying s = -4.5
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