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Simplifying 6(5s + 4) = 6(6s + 1) Reorder the terms: 6(4 + 5s) = 6(6s + 1) (4 * 6 + 5s * 6) = 6(6s + 1) (24 + 30s) = 6(6s + 1) Reorder the terms: 24 + 30s = 6(1 + 6s) 24 + 30s = (1 * 6 + 6s * 6) 24 + 30s = (6 + 36s) Solving 24 + 30s = 6 + 36s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-36s' to each side of the equation. 24 + 30s + -36s = 6 + 36s + -36s Combine like terms: 30s + -36s = -6s 24 + -6s = 6 + 36s + -36s Combine like terms: 36s + -36s = 0 24 + -6s = 6 + 0 24 + -6s = 6 Add '-24' to each side of the equation. 24 + -24 + -6s = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -6s = 6 + -24 -6s = 6 + -24 Combine like terms: 6 + -24 = -18 -6s = -18 Divide each side by '-6'. s = 3 Simplifying s = 3
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