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Simplifying 9(3s + -4) = 5(4s + 3) Reorder the terms: 9(-4 + 3s) = 5(4s + 3) (-4 * 9 + 3s * 9) = 5(4s + 3) (-36 + 27s) = 5(4s + 3) Reorder the terms: -36 + 27s = 5(3 + 4s) -36 + 27s = (3 * 5 + 4s * 5) -36 + 27s = (15 + 20s) Solving -36 + 27s = 15 + 20s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-20s' to each side of the equation. -36 + 27s + -20s = 15 + 20s + -20s Combine like terms: 27s + -20s = 7s -36 + 7s = 15 + 20s + -20s Combine like terms: 20s + -20s = 0 -36 + 7s = 15 + 0 -36 + 7s = 15 Add '36' to each side of the equation. -36 + 36 + 7s = 15 + 36 Combine like terms: -36 + 36 = 0 0 + 7s = 15 + 36 7s = 15 + 36 Combine like terms: 15 + 36 = 51 7s = 51 Divide each side by '7'. s = 7.285714286 Simplifying s = 7.285714286
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