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Simplifying -2(4s + -6) + -12 = -3(7s + 2) + -5 Reorder the terms: -2(-6 + 4s) + -12 = -3(7s + 2) + -5 (-6 * -2 + 4s * -2) + -12 = -3(7s + 2) + -5 (12 + -8s) + -12 = -3(7s + 2) + -5 Reorder the terms: 12 + -12 + -8s = -3(7s + 2) + -5 Combine like terms: 12 + -12 = 0 0 + -8s = -3(7s + 2) + -5 -8s = -3(7s + 2) + -5 Reorder the terms: -8s = -3(2 + 7s) + -5 -8s = (2 * -3 + 7s * -3) + -5 -8s = (-6 + -21s) + -5 Reorder the terms: -8s = -6 + -5 + -21s Combine like terms: -6 + -5 = -11 -8s = -11 + -21s Solving -8s = -11 + -21s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '21s' to each side of the equation. -8s + 21s = -11 + -21s + 21s Combine like terms: -8s + 21s = 13s 13s = -11 + -21s + 21s Combine like terms: -21s + 21s = 0 13s = -11 + 0 13s = -11 Divide each side by '13'. s = -0.8461538462 Simplifying s = -0.8461538462
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