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Simplifying 5(2s + -1) + 4 = 6s + 1 Reorder the terms: 5(-1 + 2s) + 4 = 6s + 1 (-1 * 5 + 2s * 5) + 4 = 6s + 1 (-5 + 10s) + 4 = 6s + 1 Reorder the terms: -5 + 4 + 10s = 6s + 1 Combine like terms: -5 + 4 = -1 -1 + 10s = 6s + 1 Reorder the terms: -1 + 10s = 1 + 6s Solving -1 + 10s = 1 + 6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6s' to each side of the equation. -1 + 10s + -6s = 1 + 6s + -6s Combine like terms: 10s + -6s = 4s -1 + 4s = 1 + 6s + -6s Combine like terms: 6s + -6s = 0 -1 + 4s = 1 + 0 -1 + 4s = 1 Add '1' to each side of the equation. -1 + 1 + 4s = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 4s = 1 + 1 4s = 1 + 1 Combine like terms: 1 + 1 = 2 4s = 2 Divide each side by '4'. s = 0.5 Simplifying s = 0.5
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