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Simplifying -3(4s + -2) + -6 = -2(8s + 10) + -2 Reorder the terms: -3(-2 + 4s) + -6 = -2(8s + 10) + -2 (-2 * -3 + 4s * -3) + -6 = -2(8s + 10) + -2 (6 + -12s) + -6 = -2(8s + 10) + -2 Reorder the terms: 6 + -6 + -12s = -2(8s + 10) + -2 Combine like terms: 6 + -6 = 0 0 + -12s = -2(8s + 10) + -2 -12s = -2(8s + 10) + -2 Reorder the terms: -12s = -2(10 + 8s) + -2 -12s = (10 * -2 + 8s * -2) + -2 -12s = (-20 + -16s) + -2 Reorder the terms: -12s = -20 + -2 + -16s Combine like terms: -20 + -2 = -22 -12s = -22 + -16s Solving -12s = -22 + -16s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '16s' to each side of the equation. -12s + 16s = -22 + -16s + 16s Combine like terms: -12s + 16s = 4s 4s = -22 + -16s + 16s Combine like terms: -16s + 16s = 0 4s = -22 + 0 4s = -22 Divide each side by '4'. s = -5.5 Simplifying s = -5.5
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