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Simplifying -2(4s + -2) + -4 = -3(7s + 5) + -5 Reorder the terms: -2(-2 + 4s) + -4 = -3(7s + 5) + -5 (-2 * -2 + 4s * -2) + -4 = -3(7s + 5) + -5 (4 + -8s) + -4 = -3(7s + 5) + -5 Reorder the terms: 4 + -4 + -8s = -3(7s + 5) + -5 Combine like terms: 4 + -4 = 0 0 + -8s = -3(7s + 5) + -5 -8s = -3(7s + 5) + -5 Reorder the terms: -8s = -3(5 + 7s) + -5 -8s = (5 * -3 + 7s * -3) + -5 -8s = (-15 + -21s) + -5 Reorder the terms: -8s = -15 + -5 + -21s Combine like terms: -15 + -5 = -20 -8s = -20 + -21s Solving -8s = -20 + -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. -8s + 21s = -20 + -21s + 21s Combine like terms: -8s + 21s = 13s 13s = -20 + -21s + 21s Combine like terms: -21s + 21s = 0 13s = -20 + 0 13s = -20 Divide each side by '13'. s = -1.538461538 Simplifying s = -1.538461538
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