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Simplifying 2(4s + -1) + 5(2s + 3) = 11s + -8 Reorder the terms: 2(-1 + 4s) + 5(2s + 3) = 11s + -8 (-1 * 2 + 4s * 2) + 5(2s + 3) = 11s + -8 (-2 + 8s) + 5(2s + 3) = 11s + -8 Reorder the terms: -2 + 8s + 5(3 + 2s) = 11s + -8 -2 + 8s + (3 * 5 + 2s * 5) = 11s + -8 -2 + 8s + (15 + 10s) = 11s + -8 Reorder the terms: -2 + 15 + 8s + 10s = 11s + -8 Combine like terms: -2 + 15 = 13 13 + 8s + 10s = 11s + -8 Combine like terms: 8s + 10s = 18s 13 + 18s = 11s + -8 Reorder the terms: 13 + 18s = -8 + 11s Solving 13 + 18s = -8 + 11s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-11s' to each side of the equation. 13 + 18s + -11s = -8 + 11s + -11s Combine like terms: 18s + -11s = 7s 13 + 7s = -8 + 11s + -11s Combine like terms: 11s + -11s = 0 13 + 7s = -8 + 0 13 + 7s = -8 Add '-13' to each side of the equation. 13 + -13 + 7s = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 7s = -8 + -13 7s = -8 + -13 Combine like terms: -8 + -13 = -21 7s = -21 Divide each side by '7'. s = -3 Simplifying s = -3
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