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Simplifying 90 + 8(s + -5) = 3(6 + 4s) Reorder the terms: 90 + 8(-5 + s) = 3(6 + 4s) 90 + (-5 * 8 + s * 8) = 3(6 + 4s) 90 + (-40 + 8s) = 3(6 + 4s) Combine like terms: 90 + -40 = 50 50 + 8s = 3(6 + 4s) 50 + 8s = (6 * 3 + 4s * 3) 50 + 8s = (18 + 12s) Solving 50 + 8s = 18 + 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. 50 + 8s + -12s = 18 + 12s + -12s Combine like terms: 8s + -12s = -4s 50 + -4s = 18 + 12s + -12s Combine like terms: 12s + -12s = 0 50 + -4s = 18 + 0 50 + -4s = 18 Add '-50' to each side of the equation. 50 + -50 + -4s = 18 + -50 Combine like terms: 50 + -50 = 0 0 + -4s = 18 + -50 -4s = 18 + -50 Combine like terms: 18 + -50 = -32 -4s = -32 Divide each side by '-4'. s = 8 Simplifying s = 8
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