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Simplifying 47s + -46 = 51s + -74 Reorder the terms: -46 + 47s = 51s + -74 Reorder the terms: -46 + 47s = -74 + 51s Solving -46 + 47s = -74 + 51s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-51s' to each side of the equation. -46 + 47s + -51s = -74 + 51s + -51s Combine like terms: 47s + -51s = -4s -46 + -4s = -74 + 51s + -51s Combine like terms: 51s + -51s = 0 -46 + -4s = -74 + 0 -46 + -4s = -74 Add '46' to each side of the equation. -46 + 46 + -4s = -74 + 46 Combine like terms: -46 + 46 = 0 0 + -4s = -74 + 46 -4s = -74 + 46 Combine like terms: -74 + 46 = -28 -4s = -28 Divide each side by '-4'. s = 7 Simplifying s = 7
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