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Simplifying -2(4s + -3) + -6 = -3(4s + 4) + -4 Reorder the terms: -2(-3 + 4s) + -6 = -3(4s + 4) + -4 (-3 * -2 + 4s * -2) + -6 = -3(4s + 4) + -4 (6 + -8s) + -6 = -3(4s + 4) + -4 Reorder the terms: 6 + -6 + -8s = -3(4s + 4) + -4 Combine like terms: 6 + -6 = 0 0 + -8s = -3(4s + 4) + -4 -8s = -3(4s + 4) + -4 Reorder the terms: -8s = -3(4 + 4s) + -4 -8s = (4 * -3 + 4s * -3) + -4 -8s = (-12 + -12s) + -4 Reorder the terms: -8s = -12 + -4 + -12s Combine like terms: -12 + -4 = -16 -8s = -16 + -12s Solving -8s = -16 + -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. -8s + 12s = -16 + -12s + 12s Combine like terms: -8s + 12s = 4s 4s = -16 + -12s + 12s Combine like terms: -12s + 12s = 0 4s = -16 + 0 4s = -16 Divide each side by '4'. s = -4 Simplifying s = -4
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