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Simplifying -3(5s + -2) = -2(9s + 8) + -2 Reorder the terms: -3(-2 + 5s) = -2(9s + 8) + -2 (-2 * -3 + 5s * -3) = -2(9s + 8) + -2 (6 + -15s) = -2(9s + 8) + -2 Reorder the terms: 6 + -15s = -2(8 + 9s) + -2 6 + -15s = (8 * -2 + 9s * -2) + -2 6 + -15s = (-16 + -18s) + -2 Reorder the terms: 6 + -15s = -16 + -2 + -18s Combine like terms: -16 + -2 = -18 6 + -15s = -18 + -18s Solving 6 + -15s = -18 + -18s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18s' to each side of the equation. 6 + -15s + 18s = -18 + -18s + 18s Combine like terms: -15s + 18s = 3s 6 + 3s = -18 + -18s + 18s Combine like terms: -18s + 18s = 0 6 + 3s = -18 + 0 6 + 3s = -18 Add '-6' to each side of the equation. 6 + -6 + 3s = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 3s = -18 + -6 3s = -18 + -6 Combine like terms: -18 + -6 = -24 3s = -24 Divide each side by '3'. s = -8 Simplifying s = -8
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