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Simplifying 3.8(s + -6) + 4.6 = 22 Reorder the terms: 3.8(-6 + s) + 4.6 = 22 (-6 * 3.8 + s * 3.8) + 4.6 = 22 (-22.8 + 3.8s) + 4.6 = 22 Reorder the terms: -22.8 + 4.6 + 3.8s = 22 Combine like terms: -22.8 + 4.6 = -18.2 -18.2 + 3.8s = 22 Solving -18.2 + 3.8s = 22 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18.2' to each side of the equation. -18.2 + 18.2 + 3.8s = 22 + 18.2 Combine like terms: -18.2 + 18.2 = 0.0 0.0 + 3.8s = 22 + 18.2 3.8s = 22 + 18.2 Combine like terms: 22 + 18.2 = 40.2 3.8s = 40.2 Divide each side by '3.8'. s = 10.57894737 Simplifying s = 10.57894737
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