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Simplifying -2(4s + -1) + -2 = -3(5s + 4) + -5 Reorder the terms: -2(-1 + 4s) + -2 = -3(5s + 4) + -5 (-1 * -2 + 4s * -2) + -2 = -3(5s + 4) + -5 (2 + -8s) + -2 = -3(5s + 4) + -5 Reorder the terms: 2 + -2 + -8s = -3(5s + 4) + -5 Combine like terms: 2 + -2 = 0 0 + -8s = -3(5s + 4) + -5 -8s = -3(5s + 4) + -5 Reorder the terms: -8s = -3(4 + 5s) + -5 -8s = (4 * -3 + 5s * -3) + -5 -8s = (-12 + -15s) + -5 Reorder the terms: -8s = -12 + -5 + -15s Combine like terms: -12 + -5 = -17 -8s = -17 + -15s Solving -8s = -17 + -15s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '15s' to each side of the equation. -8s + 15s = -17 + -15s + 15s Combine like terms: -8s + 15s = 7s 7s = -17 + -15s + 15s Combine like terms: -15s + 15s = 0 7s = -17 + 0 7s = -17 Divide each side by '7'. s = -2.428571429 Simplifying s = -2.428571429
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