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Simplifying 9s + -5 = 2 + 4(s + 7) Reorder the terms: -5 + 9s = 2 + 4(s + 7) Reorder the terms: -5 + 9s = 2 + 4(7 + s) -5 + 9s = 2 + (7 * 4 + s * 4) -5 + 9s = 2 + (28 + 4s) Combine like terms: 2 + 28 = 30 -5 + 9s = 30 + 4s Solving -5 + 9s = 30 + 4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4s' to each side of the equation. -5 + 9s + -4s = 30 + 4s + -4s Combine like terms: 9s + -4s = 5s -5 + 5s = 30 + 4s + -4s Combine like terms: 4s + -4s = 0 -5 + 5s = 30 + 0 -5 + 5s = 30 Add '5' to each side of the equation. -5 + 5 + 5s = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 5s = 30 + 5 5s = 30 + 5 Combine like terms: 30 + 5 = 35 5s = 35 Divide each side by '5'. s = 7 Simplifying s = 7
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