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Simplifying 5s + 12 = 46 + -10s Reorder the terms: 12 + 5s = 46 + -10s Solving 12 + 5s = 46 + -10s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '10s' to each side of the equation. 12 + 5s + 10s = 46 + -10s + 10s Combine like terms: 5s + 10s = 15s 12 + 15s = 46 + -10s + 10s Combine like terms: -10s + 10s = 0 12 + 15s = 46 + 0 12 + 15s = 46 Add '-12' to each side of the equation. 12 + -12 + 15s = 46 + -12 Combine like terms: 12 + -12 = 0 0 + 15s = 46 + -12 15s = 46 + -12 Combine like terms: 46 + -12 = 34 15s = 34 Divide each side by '15'. s = 2.266666667 Simplifying s = 2.266666667
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