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Simplifying -2(2s + -6) + -12 = -2(5s + 10) + -3 Reorder the terms: -2(-6 + 2s) + -12 = -2(5s + 10) + -3 (-6 * -2 + 2s * -2) + -12 = -2(5s + 10) + -3 (12 + -4s) + -12 = -2(5s + 10) + -3 Reorder the terms: 12 + -12 + -4s = -2(5s + 10) + -3 Combine like terms: 12 + -12 = 0 0 + -4s = -2(5s + 10) + -3 -4s = -2(5s + 10) + -3 Reorder the terms: -4s = -2(10 + 5s) + -3 -4s = (10 * -2 + 5s * -2) + -3 -4s = (-20 + -10s) + -3 Reorder the terms: -4s = -20 + -3 + -10s Combine like terms: -20 + -3 = -23 -4s = -23 + -10s Solving -4s = -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. -4s + 10s = -23 + -10s + 10s Combine like terms: -4s + 10s = 6s 6s = -23 + -10s + 10s Combine like terms: -10s + 10s = 0 6s = -23 + 0 6s = -23 Divide each side by '6'. s = -3.833333333 Simplifying s = -3.833333333
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