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Simplifying 4s + 38 + 8s + 60 = 2(-3s + 58) Reorder the terms: 38 + 60 + 4s + 8s = 2(-3s + 58) Combine like terms: 38 + 60 = 98 98 + 4s + 8s = 2(-3s + 58) Combine like terms: 4s + 8s = 12s 98 + 12s = 2(-3s + 58) Reorder the terms: 98 + 12s = 2(58 + -3s) 98 + 12s = (58 * 2 + -3s * 2) 98 + 12s = (116 + -6s) Solving 98 + 12s = 116 + -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. 98 + 12s + 6s = 116 + -6s + 6s Combine like terms: 12s + 6s = 18s 98 + 18s = 116 + -6s + 6s Combine like terms: -6s + 6s = 0 98 + 18s = 116 + 0 98 + 18s = 116 Add '-98' to each side of the equation. 98 + -98 + 18s = 116 + -98 Combine like terms: 98 + -98 = 0 0 + 18s = 116 + -98 18s = 116 + -98 Combine like terms: 116 + -98 = 18 18s = 18 Divide each side by '18'. s = 1 Simplifying s = 1
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