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Simplifying -2(4s + -3) + -6 = -2(2s + 9) + -2 Reorder the terms: -2(-3 + 4s) + -6 = -2(2s + 9) + -2 (-3 * -2 + 4s * -2) + -6 = -2(2s + 9) + -2 (6 + -8s) + -6 = -2(2s + 9) + -2 Reorder the terms: 6 + -6 + -8s = -2(2s + 9) + -2 Combine like terms: 6 + -6 = 0 0 + -8s = -2(2s + 9) + -2 -8s = -2(2s + 9) + -2 Reorder the terms: -8s = -2(9 + 2s) + -2 -8s = (9 * -2 + 2s * -2) + -2 -8s = (-18 + -4s) + -2 Reorder the terms: -8s = -18 + -2 + -4s Combine like terms: -18 + -2 = -20 -8s = -20 + -4s Solving -8s = -20 + -4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '4s' to each side of the equation. -8s + 4s = -20 + -4s + 4s Combine like terms: -8s + 4s = -4s -4s = -20 + -4s + 4s Combine like terms: -4s + 4s = 0 -4s = -20 + 0 -4s = -20 Divide each side by '-4'. s = 5 Simplifying s = 5
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