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Simplifying -3(5s + -6) + -18 = 3(7s + 4) + -5 Reorder the terms: -3(-6 + 5s) + -18 = 3(7s + 4) + -5 (-6 * -3 + 5s * -3) + -18 = 3(7s + 4) + -5 (18 + -15s) + -18 = 3(7s + 4) + -5 Reorder the terms: 18 + -18 + -15s = 3(7s + 4) + -5 Combine like terms: 18 + -18 = 0 0 + -15s = 3(7s + 4) + -5 -15s = 3(7s + 4) + -5 Reorder the terms: -15s = 3(4 + 7s) + -5 -15s = (4 * 3 + 7s * 3) + -5 -15s = (12 + 21s) + -5 Reorder the terms: -15s = 12 + -5 + 21s Combine like terms: 12 + -5 = 7 -15s = 7 + 21s Solving -15s = 7 + 21s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-21s' to each side of the equation. -15s + -21s = 7 + 21s + -21s Combine like terms: -15s + -21s = -36s -36s = 7 + 21s + -21s Combine like terms: 21s + -21s = 0 -36s = 7 + 0 -36s = 7 Divide each side by '-36'. s = -0.1944444444 Simplifying s = -0.1944444444
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