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Simplifying -2(5s + -6) + -12 = -3(7s + 5) + -4 Reorder the terms: -2(-6 + 5s) + -12 = -3(7s + 5) + -4 (-6 * -2 + 5s * -2) + -12 = -3(7s + 5) + -4 (12 + -10s) + -12 = -3(7s + 5) + -4 Reorder the terms: 12 + -12 + -10s = -3(7s + 5) + -4 Combine like terms: 12 + -12 = 0 0 + -10s = -3(7s + 5) + -4 -10s = -3(7s + 5) + -4 Reorder the terms: -10s = -3(5 + 7s) + -4 -10s = (5 * -3 + 7s * -3) + -4 -10s = (-15 + -21s) + -4 Reorder the terms: -10s = -15 + -4 + -21s Combine like terms: -15 + -4 = -19 -10s = -19 + -21s Solving -10s = -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. -10s + 21s = -19 + -21s + 21s Combine like terms: -10s + 21s = 11s 11s = -19 + -21s + 21s Combine like terms: -21s + 21s = 0 11s = -19 + 0 11s = -19 Divide each side by '11'. s = -1.727272727 Simplifying s = -1.727272727
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