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Simplifying 4(s + -1w) + (s + 6w + -2) = 0 (s * 4 + -1w * 4) + (s + 6w + -2) = 0 (4s + -4w) + (s + 6w + -2) = 0 Reorder the terms: 4s + -4w + (-2 + s + 6w) = 0 Remove parenthesis around (-2 + s + 6w) 4s + -4w + -2 + s + 6w = 0 Reorder the terms: -2 + 4s + s + -4w + 6w = 0 Combine like terms: 4s + s = 5s -2 + 5s + -4w + 6w = 0 Combine like terms: -4w + 6w = 2w -2 + 5s + 2w = 0 Solving -2 + 5s + 2w = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5s + 2 + 2w = 0 + 2 Reorder the terms: -2 + 2 + 5s + 2w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5s + 2w = 0 + 2 5s + 2w = 0 + 2 Combine like terms: 0 + 2 = 2 5s + 2w = 2 Add '-2w' to each side of the equation. 5s + 2w + -2w = 2 + -2w Combine like terms: 2w + -2w = 0 5s + 0 = 2 + -2w 5s = 2 + -2w Divide each side by '5'. s = 0.4 + -0.4w Simplifying s = 0.4 + -0.4w
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