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Simplifying -2(3s + -6) + -12 = -3(5s + -1) + -5 Reorder the terms: -2(-6 + 3s) + -12 = -3(5s + -1) + -5 (-6 * -2 + 3s * -2) + -12 = -3(5s + -1) + -5 (12 + -6s) + -12 = -3(5s + -1) + -5 Reorder the terms: 12 + -12 + -6s = -3(5s + -1) + -5 Combine like terms: 12 + -12 = 0 0 + -6s = -3(5s + -1) + -5 -6s = -3(5s + -1) + -5 Reorder the terms: -6s = -3(-1 + 5s) + -5 -6s = (-1 * -3 + 5s * -3) + -5 -6s = (3 + -15s) + -5 Reorder the terms: -6s = 3 + -5 + -15s Combine like terms: 3 + -5 = -2 -6s = -2 + -15s Solving -6s = -2 + -15s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '15s' to each side of the equation. -6s + 15s = -2 + -15s + 15s Combine like terms: -6s + 15s = 9s 9s = -2 + -15s + 15s Combine like terms: -15s + 15s = 0 9s = -2 + 0 9s = -2 Divide each side by '9'. s = -0.2222222222 Simplifying s = -0.2222222222
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