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Simplifying 3(2s + 3) = 2(5s + -8) Reorder the terms: 3(3 + 2s) = 2(5s + -8) (3 * 3 + 2s * 3) = 2(5s + -8) (9 + 6s) = 2(5s + -8) Reorder the terms: 9 + 6s = 2(-8 + 5s) 9 + 6s = (-8 * 2 + 5s * 2) 9 + 6s = (-16 + 10s) Solving 9 + 6s = -16 + 10s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-10s' to each side of the equation. 9 + 6s + -10s = -16 + 10s + -10s Combine like terms: 6s + -10s = -4s 9 + -4s = -16 + 10s + -10s Combine like terms: 10s + -10s = 0 9 + -4s = -16 + 0 9 + -4s = -16 Add '-9' to each side of the equation. 9 + -9 + -4s = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -4s = -16 + -9 -4s = -16 + -9 Combine like terms: -16 + -9 = -25 -4s = -25 Divide each side by '-4'. s = 6.25 Simplifying s = 6.25
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