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Simplifying -3(4s + -2) + -6 = -3(7s + 6) + -5 Reorder the terms: -3(-2 + 4s) + -6 = -3(7s + 6) + -5 (-2 * -3 + 4s * -3) + -6 = -3(7s + 6) + -5 (6 + -12s) + -6 = -3(7s + 6) + -5 Reorder the terms: 6 + -6 + -12s = -3(7s + 6) + -5 Combine like terms: 6 + -6 = 0 0 + -12s = -3(7s + 6) + -5 -12s = -3(7s + 6) + -5 Reorder the terms: -12s = -3(6 + 7s) + -5 -12s = (6 * -3 + 7s * -3) + -5 -12s = (-18 + -21s) + -5 Reorder the terms: -12s = -18 + -5 + -21s Combine like terms: -18 + -5 = -23 -12s = -23 + -21s Solving -12s = -23 + -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. -12s + 21s = -23 + -21s + 21s Combine like terms: -12s + 21s = 9s 9s = -23 + -21s + 21s Combine like terms: -21s + 21s = 0 9s = -23 + 0 9s = -23 Divide each side by '9'. s = -2.555555556 Simplifying s = -2.555555556
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