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Simplifying 8(s + 1) + 4s + 6 = 6(s + 3) + 2 Reorder the terms: 8(1 + s) + 4s + 6 = 6(s + 3) + 2 (1 * 8 + s * 8) + 4s + 6 = 6(s + 3) + 2 (8 + 8s) + 4s + 6 = 6(s + 3) + 2 Reorder the terms: 8 + 6 + 8s + 4s = 6(s + 3) + 2 Combine like terms: 8 + 6 = 14 14 + 8s + 4s = 6(s + 3) + 2 Combine like terms: 8s + 4s = 12s 14 + 12s = 6(s + 3) + 2 Reorder the terms: 14 + 12s = 6(3 + s) + 2 14 + 12s = (3 * 6 + s * 6) + 2 14 + 12s = (18 + 6s) + 2 Reorder the terms: 14 + 12s = 18 + 2 + 6s Combine like terms: 18 + 2 = 20 14 + 12s = 20 + 6s Solving 14 + 12s = 20 + 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. 14 + 12s + -6s = 20 + 6s + -6s Combine like terms: 12s + -6s = 6s 14 + 6s = 20 + 6s + -6s Combine like terms: 6s + -6s = 0 14 + 6s = 20 + 0 14 + 6s = 20 Add '-14' to each side of the equation. 14 + -14 + 6s = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 6s = 20 + -14 6s = 20 + -14 Combine like terms: 20 + -14 = 6 6s = 6 Divide each side by '6'. s = 1 Simplifying s = 1
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