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Simplifying -2(4s + -2) + -4 = -3(5s + 6) + -4 Reorder the terms: -2(-2 + 4s) + -4 = -3(5s + 6) + -4 (-2 * -2 + 4s * -2) + -4 = -3(5s + 6) + -4 (4 + -8s) + -4 = -3(5s + 6) + -4 Reorder the terms: 4 + -4 + -8s = -3(5s + 6) + -4 Combine like terms: 4 + -4 = 0 0 + -8s = -3(5s + 6) + -4 -8s = -3(5s + 6) + -4 Reorder the terms: -8s = -3(6 + 5s) + -4 -8s = (6 * -3 + 5s * -3) + -4 -8s = (-18 + -15s) + -4 Reorder the terms: -8s = -18 + -4 + -15s Combine like terms: -18 + -4 = -22 -8s = -22 + -15s Solving -8s = -22 + -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 = -22 + -15s + 15s Combine like terms: -8s + 15s = 7s 7s = -22 + -15s + 15s Combine like terms: -15s + 15s = 0 7s = -22 + 0 7s = -22 Divide each side by '7'. s = -3.142857143 Simplifying s = -3.142857143
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