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Simplifying -3(2s + -4) + -12 = -2(6s + 4) + -2 Reorder the terms: -3(-4 + 2s) + -12 = -2(6s + 4) + -2 (-4 * -3 + 2s * -3) + -12 = -2(6s + 4) + -2 (12 + -6s) + -12 = -2(6s + 4) + -2 Reorder the terms: 12 + -12 + -6s = -2(6s + 4) + -2 Combine like terms: 12 + -12 = 0 0 + -6s = -2(6s + 4) + -2 -6s = -2(6s + 4) + -2 Reorder the terms: -6s = -2(4 + 6s) + -2 -6s = (4 * -2 + 6s * -2) + -2 -6s = (-8 + -12s) + -2 Reorder the terms: -6s = -8 + -2 + -12s Combine like terms: -8 + -2 = -10 -6s = -10 + -12s Solving -6s = -10 + -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. -6s + 12s = -10 + -12s + 12s Combine like terms: -6s + 12s = 6s 6s = -10 + -12s + 12s Combine like terms: -12s + 12s = 0 6s = -10 + 0 6s = -10 Divide each side by '6'. s = -1.666666667 Simplifying s = -1.666666667
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