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Simplifying -3(2s + -4) + -12 = 2(8s + 6) + -2 Reorder the terms: -3(-4 + 2s) + -12 = 2(8s + 6) + -2 (-4 * -3 + 2s * -3) + -12 = 2(8s + 6) + -2 (12 + -6s) + -12 = 2(8s + 6) + -2 Reorder the terms: 12 + -12 + -6s = 2(8s + 6) + -2 Combine like terms: 12 + -12 = 0 0 + -6s = 2(8s + 6) + -2 -6s = 2(8s + 6) + -2 Reorder the terms: -6s = 2(6 + 8s) + -2 -6s = (6 * 2 + 8s * 2) + -2 -6s = (12 + 16s) + -2 Reorder the terms: -6s = 12 + -2 + 16s Combine like terms: 12 + -2 = 10 -6s = 10 + 16s Solving -6s = 10 + 16s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-16s' to each side of the equation. -6s + -16s = 10 + 16s + -16s Combine like terms: -6s + -16s = -22s -22s = 10 + 16s + -16s Combine like terms: 16s + -16s = 0 -22s = 10 + 0 -22s = 10 Divide each side by '-22'. s = -0.4545454545 Simplifying s = -0.4545454545
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