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Simplifying -6(-12s + 12) = 4(19s + -16) Reorder the terms: -6(12 + -12s) = 4(19s + -16) (12 * -6 + -12s * -6) = 4(19s + -16) (-72 + 72s) = 4(19s + -16) Reorder the terms: -72 + 72s = 4(-16 + 19s) -72 + 72s = (-16 * 4 + 19s * 4) -72 + 72s = (-64 + 76s) Solving -72 + 72s = -64 + 76s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-76s' to each side of the equation. -72 + 72s + -76s = -64 + 76s + -76s Combine like terms: 72s + -76s = -4s -72 + -4s = -64 + 76s + -76s Combine like terms: 76s + -76s = 0 -72 + -4s = -64 + 0 -72 + -4s = -64 Add '72' to each side of the equation. -72 + 72 + -4s = -64 + 72 Combine like terms: -72 + 72 = 0 0 + -4s = -64 + 72 -4s = -64 + 72 Combine like terms: -64 + 72 = 8 -4s = 8 Divide each side by '-4'. s = -2 Simplifying s = -2
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