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Simplifying 3(8s + 3) + -16s = 2(4s + 3) * 11 Reorder the terms: 3(3 + 8s) + -16s = 2(4s + 3) * 11 (3 * 3 + 8s * 3) + -16s = 2(4s + 3) * 11 (9 + 24s) + -16s = 2(4s + 3) * 11 Combine like terms: 24s + -16s = 8s 9 + 8s = 2(4s + 3) * 11 Reorder the terms: 9 + 8s = 2(3 + 4s) * 11 Reorder the terms for easier multiplication: 9 + 8s = 2 * 11(3 + 4s) Multiply 2 * 11 9 + 8s = 22(3 + 4s) 9 + 8s = (3 * 22 + 4s * 22) 9 + 8s = (66 + 88s) Solving 9 + 8s = 66 + 88s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-88s' to each side of the equation. 9 + 8s + -88s = 66 + 88s + -88s Combine like terms: 8s + -88s = -80s 9 + -80s = 66 + 88s + -88s Combine like terms: 88s + -88s = 0 9 + -80s = 66 + 0 9 + -80s = 66 Add '-9' to each side of the equation. 9 + -9 + -80s = 66 + -9 Combine like terms: 9 + -9 = 0 0 + -80s = 66 + -9 -80s = 66 + -9 Combine like terms: 66 + -9 = 57 -80s = 57 Divide each side by '-80'. s = -0.7125 Simplifying s = -0.7125
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