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Simplifying -13(4s + -6) + -18 = -2(8s + 8) + -2 Reorder the terms: -13(-6 + 4s) + -18 = -2(8s + 8) + -2 (-6 * -13 + 4s * -13) + -18 = -2(8s + 8) + -2 (78 + -52s) + -18 = -2(8s + 8) + -2 Reorder the terms: 78 + -18 + -52s = -2(8s + 8) + -2 Combine like terms: 78 + -18 = 60 60 + -52s = -2(8s + 8) + -2 Reorder the terms: 60 + -52s = -2(8 + 8s) + -2 60 + -52s = (8 * -2 + 8s * -2) + -2 60 + -52s = (-16 + -16s) + -2 Reorder the terms: 60 + -52s = -16 + -2 + -16s Combine like terms: -16 + -2 = -18 60 + -52s = -18 + -16s Solving 60 + -52s = -18 + -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. 60 + -52s + 16s = -18 + -16s + 16s Combine like terms: -52s + 16s = -36s 60 + -36s = -18 + -16s + 16s Combine like terms: -16s + 16s = 0 60 + -36s = -18 + 0 60 + -36s = -18 Add '-60' to each side of the equation. 60 + -60 + -36s = -18 + -60 Combine like terms: 60 + -60 = 0 0 + -36s = -18 + -60 -36s = -18 + -60 Combine like terms: -18 + -60 = -78 -36s = -78 Divide each side by '-36'. s = 2.166666667 Simplifying s = 2.166666667
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