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Simplifying -2(2s + -3) + -6 = 3(4s + 3) + -3 Reorder the terms: -2(-3 + 2s) + -6 = 3(4s + 3) + -3 (-3 * -2 + 2s * -2) + -6 = 3(4s + 3) + -3 (6 + -4s) + -6 = 3(4s + 3) + -3 Reorder the terms: 6 + -6 + -4s = 3(4s + 3) + -3 Combine like terms: 6 + -6 = 0 0 + -4s = 3(4s + 3) + -3 -4s = 3(4s + 3) + -3 Reorder the terms: -4s = 3(3 + 4s) + -3 -4s = (3 * 3 + 4s * 3) + -3 -4s = (9 + 12s) + -3 Reorder the terms: -4s = 9 + -3 + 12s Combine like terms: 9 + -3 = 6 -4s = 6 + 12s Solving -4s = 6 + 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 = 6 + 12s + -12s Combine like terms: -4s + -12s = -16s -16s = 6 + 12s + -12s Combine like terms: 12s + -12s = 0 -16s = 6 + 0 -16s = 6 Divide each side by '-16'. s = -0.375 Simplifying s = -0.375
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