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Simplifying -2(4s + -3) + -6 = -3(7s + 5) + -4 Reorder the terms: -2(-3 + 4s) + -6 = -3(7s + 5) + -4 (-3 * -2 + 4s * -2) + -6 = -3(7s + 5) + -4 (6 + -8s) + -6 = -3(7s + 5) + -4 Reorder the terms: 6 + -6 + -8s = -3(7s + 5) + -4 Combine like terms: 6 + -6 = 0 0 + -8s = -3(7s + 5) + -4 -8s = -3(7s + 5) + -4 Reorder the terms: -8s = -3(5 + 7s) + -4 -8s = (5 * -3 + 7s * -3) + -4 -8s = (-15 + -21s) + -4 Reorder the terms: -8s = -15 + -4 + -21s Combine like terms: -15 + -4 = -19 -8s = -19 + -21s Solving -8s = -19 + -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 = -19 + -21s + 21s Combine like terms: -8s + 21s = 13s 13s = -19 + -21s + 21s Combine like terms: -21s + 21s = 0 13s = -19 + 0 13s = -19 Divide each side by '13'. s = -1.461538462 Simplifying s = -1.461538462
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