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Simplifying 6s + 10 = 3s + 46 Reorder the terms: 10 + 6s = 3s + 46 Reorder the terms: 10 + 6s = 46 + 3s Solving 10 + 6s = 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. 10 + 6s + -3s = 46 + 3s + -3s Combine like terms: 6s + -3s = 3s 10 + 3s = 46 + 3s + -3s Combine like terms: 3s + -3s = 0 10 + 3s = 46 + 0 10 + 3s = 46 Add '-10' to each side of the equation. 10 + -10 + 3s = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 3s = 46 + -10 3s = 46 + -10 Combine like terms: 46 + -10 = 36 3s = 36 Divide each side by '3'. s = 12 Simplifying s = 12
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