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Simplifying 35s + 12 = 40s + 42 Reorder the terms: 12 + 35s = 40s + 42 Reorder the terms: 12 + 35s = 42 + 40s Solving 12 + 35s = 42 + 40s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-40s' to each side of the equation. 12 + 35s + -40s = 42 + 40s + -40s Combine like terms: 35s + -40s = -5s 12 + -5s = 42 + 40s + -40s Combine like terms: 40s + -40s = 0 12 + -5s = 42 + 0 12 + -5s = 42 Add '-12' to each side of the equation. 12 + -12 + -5s = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -5s = 42 + -12 -5s = 42 + -12 Combine like terms: 42 + -12 = 30 -5s = 30 Divide each side by '-5'. s = -6 Simplifying s = -6
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