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Simplifying -2(3s + -4) + -8 = -2(5s + 10) + -3 Reorder the terms: -2(-4 + 3s) + -8 = -2(5s + 10) + -3 (-4 * -2 + 3s * -2) + -8 = -2(5s + 10) + -3 (8 + -6s) + -8 = -2(5s + 10) + -3 Reorder the terms: 8 + -8 + -6s = -2(5s + 10) + -3 Combine like terms: 8 + -8 = 0 0 + -6s = -2(5s + 10) + -3 -6s = -2(5s + 10) + -3 Reorder the terms: -6s = -2(10 + 5s) + -3 -6s = (10 * -2 + 5s * -2) + -3 -6s = (-20 + -10s) + -3 Reorder the terms: -6s = -20 + -3 + -10s Combine like terms: -20 + -3 = -23 -6s = -23 + -10s Solving -6s = -23 + -10s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '10s' to each side of the equation. -6s + 10s = -23 + -10s + 10s Combine like terms: -6s + 10s = 4s 4s = -23 + -10s + 10s Combine like terms: -10s + 10s = 0 4s = -23 + 0 4s = -23 Divide each side by '4'. s = -5.75 Simplifying s = -5.75
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