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Simplifying 2 + 3(2s + -4) + -3(4s + 2) + -6 = 0 Reorder the terms: 2 + 3(-4 + 2s) + -3(4s + 2) + -6 = 0 2 + (-4 * 3 + 2s * 3) + -3(4s + 2) + -6 = 0 2 + (-12 + 6s) + -3(4s + 2) + -6 = 0 Reorder the terms: 2 + -12 + 6s + -3(2 + 4s) + -6 = 0 2 + -12 + 6s + (2 * -3 + 4s * -3) + -6 = 0 2 + -12 + 6s + (-6 + -12s) + -6 = 0 Reorder the terms: 2 + -12 + -6 + -6 + 6s + -12s = 0 Combine like terms: 2 + -12 = -10 -10 + -6 + -6 + 6s + -12s = 0 Combine like terms: -10 + -6 = -16 -16 + -6 + 6s + -12s = 0 Combine like terms: -16 + -6 = -22 -22 + 6s + -12s = 0 Combine like terms: 6s + -12s = -6s -22 + -6s = 0 Solving -22 + -6s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -6s = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -6s = 0 + 22 -6s = 0 + 22 Combine like terms: 0 + 22 = 22 -6s = 22 Divide each side by '-6'. s = -3.666666667 Simplifying s = -3.666666667
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