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Simplifying 8s + 18 = 6(2s + 3) + -45 Reorder the terms: 18 + 8s = 6(2s + 3) + -45 Reorder the terms: 18 + 8s = 6(3 + 2s) + -45 18 + 8s = (3 * 6 + 2s * 6) + -45 18 + 8s = (18 + 12s) + -45 Reorder the terms: 18 + 8s = 18 + -45 + 12s Combine like terms: 18 + -45 = -27 18 + 8s = -27 + 12s Solving 18 + 8s = -27 + 12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-12s' to each side of the equation. 18 + 8s + -12s = -27 + 12s + -12s Combine like terms: 8s + -12s = -4s 18 + -4s = -27 + 12s + -12s Combine like terms: 12s + -12s = 0 18 + -4s = -27 + 0 18 + -4s = -27 Add '-18' to each side of the equation. 18 + -18 + -4s = -27 + -18 Combine like terms: 18 + -18 = 0 0 + -4s = -27 + -18 -4s = -27 + -18 Combine like terms: -27 + -18 = -45 -4s = -45 Divide each side by '-4'. s = 11.25 Simplifying s = 11.25
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