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Simplifying -2(0.5 + -4s) = 3(4 + 3.5s) (0.5 * -2 + -4s * -2) = 3(4 + 3.5s) (-1 + 8s) = 3(4 + 3.5s) -1 + 8s = (4 * 3 + 3.5s * 3) -1 + 8s = (12 + 10.5s) Solving -1 + 8s = 12 + 10.5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-10.5s' to each side of the equation. -1 + 8s + -10.5s = 12 + 10.5s + -10.5s Combine like terms: 8s + -10.5s = -2.5s -1 + -2.5s = 12 + 10.5s + -10.5s Combine like terms: 10.5s + -10.5s = 0.0 -1 + -2.5s = 12 + 0.0 -1 + -2.5s = 12 Add '1' to each side of the equation. -1 + 1 + -2.5s = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -2.5s = 12 + 1 -2.5s = 12 + 1 Combine like terms: 12 + 1 = 13 -2.5s = 13 Divide each side by '-2.5'. s = -5.2 Simplifying s = -5.2
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