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Simplifying 12s + -5 = 12 + 5(s + 8) Reorder the terms: -5 + 12s = 12 + 5(s + 8) Reorder the terms: -5 + 12s = 12 + 5(8 + s) -5 + 12s = 12 + (8 * 5 + s * 5) -5 + 12s = 12 + (40 + 5s) Combine like terms: 12 + 40 = 52 -5 + 12s = 52 + 5s Solving -5 + 12s = 52 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. -5 + 12s + -5s = 52 + 5s + -5s Combine like terms: 12s + -5s = 7s -5 + 7s = 52 + 5s + -5s Combine like terms: 5s + -5s = 0 -5 + 7s = 52 + 0 -5 + 7s = 52 Add '5' to each side of the equation. -5 + 5 + 7s = 52 + 5 Combine like terms: -5 + 5 = 0 0 + 7s = 52 + 5 7s = 52 + 5 Combine like terms: 52 + 5 = 57 7s = 57 Divide each side by '7'. s = 8.142857143 Simplifying s = 8.142857143
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