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Simplifying 11s + -7 = 8 + 12(s + 5) Reorder the terms: -7 + 11s = 8 + 12(s + 5) Reorder the terms: -7 + 11s = 8 + 12(5 + s) -7 + 11s = 8 + (5 * 12 + s * 12) -7 + 11s = 8 + (60 + 12s) Combine like terms: 8 + 60 = 68 -7 + 11s = 68 + 12s Solving -7 + 11s = 68 + 12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-12s' to each side of the equation. -7 + 11s + -12s = 68 + 12s + -12s Combine like terms: 11s + -12s = -1s -7 + -1s = 68 + 12s + -12s Combine like terms: 12s + -12s = 0 -7 + -1s = 68 + 0 -7 + -1s = 68 Add '7' to each side of the equation. -7 + 7 + -1s = 68 + 7 Combine like terms: -7 + 7 = 0 0 + -1s = 68 + 7 -1s = 68 + 7 Combine like terms: 68 + 7 = 75 -1s = 75 Divide each side by '-1'. s = -75 Simplifying s = -75
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