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Simplifying 4s + 5(7s + -3) = 9(s + -5) Reorder the terms: 4s + 5(-3 + 7s) = 9(s + -5) 4s + (-3 * 5 + 7s * 5) = 9(s + -5) 4s + (-15 + 35s) = 9(s + -5) Reorder the terms: -15 + 4s + 35s = 9(s + -5) Combine like terms: 4s + 35s = 39s -15 + 39s = 9(s + -5) Reorder the terms: -15 + 39s = 9(-5 + s) -15 + 39s = (-5 * 9 + s * 9) -15 + 39s = (-45 + 9s) Solving -15 + 39s = -45 + 9s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-9s' to each side of the equation. -15 + 39s + -9s = -45 + 9s + -9s Combine like terms: 39s + -9s = 30s -15 + 30s = -45 + 9s + -9s Combine like terms: 9s + -9s = 0 -15 + 30s = -45 + 0 -15 + 30s = -45 Add '15' to each side of the equation. -15 + 15 + 30s = -45 + 15 Combine like terms: -15 + 15 = 0 0 + 30s = -45 + 15 30s = -45 + 15 Combine like terms: -45 + 15 = -30 30s = -30 Divide each side by '30'. s = -1 Simplifying s = -1
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