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Simplifying 7 + 11s + -1 = 9s + 46 + -6s Reorder the terms: 7 + -1 + 11s = 9s + 46 + -6s Combine like terms: 7 + -1 = 6 6 + 11s = 9s + 46 + -6s Reorder the terms: 6 + 11s = 46 + 9s + -6s Combine like terms: 9s + -6s = 3s 6 + 11s = 46 + 3s Solving 6 + 11s = 46 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. 6 + 11s + -3s = 46 + 3s + -3s Combine like terms: 11s + -3s = 8s 6 + 8s = 46 + 3s + -3s Combine like terms: 3s + -3s = 0 6 + 8s = 46 + 0 6 + 8s = 46 Add '-6' to each side of the equation. 6 + -6 + 8s = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 8s = 46 + -6 8s = 46 + -6 Combine like terms: 46 + -6 = 40 8s = 40 Divide each side by '8'. s = 5 Simplifying s = 5
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