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Simplifying -2(4s + -3) + -6 = -3(8s + 2) + -5 Reorder the terms: -2(-3 + 4s) + -6 = -3(8s + 2) + -5 (-3 * -2 + 4s * -2) + -6 = -3(8s + 2) + -5 (6 + -8s) + -6 = -3(8s + 2) + -5 Reorder the terms: 6 + -6 + -8s = -3(8s + 2) + -5 Combine like terms: 6 + -6 = 0 0 + -8s = -3(8s + 2) + -5 -8s = -3(8s + 2) + -5 Reorder the terms: -8s = -3(2 + 8s) + -5 -8s = (2 * -3 + 8s * -3) + -5 -8s = (-6 + -24s) + -5 Reorder the terms: -8s = -6 + -5 + -24s Combine like terms: -6 + -5 = -11 -8s = -11 + -24s Solving -8s = -11 + -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. -8s + 24s = -11 + -24s + 24s Combine like terms: -8s + 24s = 16s 16s = -11 + -24s + 24s Combine like terms: -24s + 24s = 0 16s = -11 + 0 16s = -11 Divide each side by '16'. s = -0.6875 Simplifying s = -0.6875
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