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Simplifying 3(4s + -2) + -6 = -2(8s + 4) + -3 Reorder the terms: 3(-2 + 4s) + -6 = -2(8s + 4) + -3 (-2 * 3 + 4s * 3) + -6 = -2(8s + 4) + -3 (-6 + 12s) + -6 = -2(8s + 4) + -3 Reorder the terms: -6 + -6 + 12s = -2(8s + 4) + -3 Combine like terms: -6 + -6 = -12 -12 + 12s = -2(8s + 4) + -3 Reorder the terms: -12 + 12s = -2(4 + 8s) + -3 -12 + 12s = (4 * -2 + 8s * -2) + -3 -12 + 12s = (-8 + -16s) + -3 Reorder the terms: -12 + 12s = -8 + -3 + -16s Combine like terms: -8 + -3 = -11 -12 + 12s = -11 + -16s Solving -12 + 12s = -11 + -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. -12 + 12s + 16s = -11 + -16s + 16s Combine like terms: 12s + 16s = 28s -12 + 28s = -11 + -16s + 16s Combine like terms: -16s + 16s = 0 -12 + 28s = -11 + 0 -12 + 28s = -11 Add '12' to each side of the equation. -12 + 12 + 28s = -11 + 12 Combine like terms: -12 + 12 = 0 0 + 28s = -11 + 12 28s = -11 + 12 Combine like terms: -11 + 12 = 1 28s = 1 Divide each side by '28'. s = 0.03571428571 Simplifying s = 0.03571428571
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