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Simplifying 3(4d + -9) = 6(2d + -1s) Reorder the terms: 3(-9 + 4d) = 6(2d + -1s) (-9 * 3 + 4d * 3) = 6(2d + -1s) (-27 + 12d) = 6(2d + -1s) -27 + 12d = (2d * 6 + -1s * 6) -27 + 12d = (12d + -6s) Add '-12d' to each side of the equation. -27 + 12d + -12d = 12d + -12d + -6s Combine like terms: 12d + -12d = 0 -27 + 0 = 12d + -12d + -6s -27 = 12d + -12d + -6s Combine like terms: 12d + -12d = 0 -27 = 0 + -6s -27 = -6s Solving -27 = -6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '6s' to each side of the equation. -27 + 6s = -6s + 6s Combine like terms: -6s + 6s = 0 -27 + 6s = 0 Add '27' to each side of the equation. -27 + 27 + 6s = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 6s = 0 + 27 6s = 0 + 27 Combine like terms: 0 + 27 = 27 6s = 27 Divide each side by '6'. s = 4.5 Simplifying s = 4.5
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