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Simplifying -2(2s + -3) + -6 = -3(4s + 6) + -5 Reorder the terms: -2(-3 + 2s) + -6 = -3(4s + 6) + -5 (-3 * -2 + 2s * -2) + -6 = -3(4s + 6) + -5 (6 + -4s) + -6 = -3(4s + 6) + -5 Reorder the terms: 6 + -6 + -4s = -3(4s + 6) + -5 Combine like terms: 6 + -6 = 0 0 + -4s = -3(4s + 6) + -5 -4s = -3(4s + 6) + -5 Reorder the terms: -4s = -3(6 + 4s) + -5 -4s = (6 * -3 + 4s * -3) + -5 -4s = (-18 + -12s) + -5 Reorder the terms: -4s = -18 + -5 + -12s Combine like terms: -18 + -5 = -23 -4s = -23 + -12s Solving -4s = -23 + -12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '12s' to each side of the equation. -4s + 12s = -23 + -12s + 12s Combine like terms: -4s + 12s = 8s 8s = -23 + -12s + 12s Combine like terms: -12s + 12s = 0 8s = -23 + 0 8s = -23 Divide each side by '8'. s = -2.875 Simplifying s = -2.875
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