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Simplifying -3(4s + -2) + -6 = 3(8s + 1) + -4 Reorder the terms: -3(-2 + 4s) + -6 = 3(8s + 1) + -4 (-2 * -3 + 4s * -3) + -6 = 3(8s + 1) + -4 (6 + -12s) + -6 = 3(8s + 1) + -4 Reorder the terms: 6 + -6 + -12s = 3(8s + 1) + -4 Combine like terms: 6 + -6 = 0 0 + -12s = 3(8s + 1) + -4 -12s = 3(8s + 1) + -4 Reorder the terms: -12s = 3(1 + 8s) + -4 -12s = (1 * 3 + 8s * 3) + -4 -12s = (3 + 24s) + -4 Reorder the terms: -12s = 3 + -4 + 24s Combine like terms: 3 + -4 = -1 -12s = -1 + 24s Solving -12s = -1 + 24s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-24s' to each side of the equation. -12s + -24s = -1 + 24s + -24s Combine like terms: -12s + -24s = -36s -36s = -1 + 24s + -24s Combine like terms: 24s + -24s = 0 -36s = -1 + 0 -36s = -1 Divide each side by '-36'. s = 0.02777777778 Simplifying s = 0.02777777778
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