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Simplifying -2(4s + -6) + -12 = -3(8s + 2) + -4 Reorder the terms: -2(-6 + 4s) + -12 = -3(8s + 2) + -4 (-6 * -2 + 4s * -2) + -12 = -3(8s + 2) + -4 (12 + -8s) + -12 = -3(8s + 2) + -4 Reorder the terms: 12 + -12 + -8s = -3(8s + 2) + -4 Combine like terms: 12 + -12 = 0 0 + -8s = -3(8s + 2) + -4 -8s = -3(8s + 2) + -4 Reorder the terms: -8s = -3(2 + 8s) + -4 -8s = (2 * -3 + 8s * -3) + -4 -8s = (-6 + -24s) + -4 Reorder the terms: -8s = -6 + -4 + -24s Combine like terms: -6 + -4 = -10 -8s = -10 + -24s Solving -8s = -10 + -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 = -10 + -24s + 24s Combine like terms: -8s + 24s = 16s 16s = -10 + -24s + 24s Combine like terms: -24s + 24s = 0 16s = -10 + 0 16s = -10 Divide each side by '16'. s = -0.625 Simplifying s = -0.625
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