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Simplifying -3(5s + -4) + -12 = -3(7s + 6) + -4 Reorder the terms: -3(-4 + 5s) + -12 = -3(7s + 6) + -4 (-4 * -3 + 5s * -3) + -12 = -3(7s + 6) + -4 (12 + -15s) + -12 = -3(7s + 6) + -4 Reorder the terms: 12 + -12 + -15s = -3(7s + 6) + -4 Combine like terms: 12 + -12 = 0 0 + -15s = -3(7s + 6) + -4 -15s = -3(7s + 6) + -4 Reorder the terms: -15s = -3(6 + 7s) + -4 -15s = (6 * -3 + 7s * -3) + -4 -15s = (-18 + -21s) + -4 Reorder the terms: -15s = -18 + -4 + -21s Combine like terms: -18 + -4 = -22 -15s = -22 + -21s Solving -15s = -22 + -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. -15s + 21s = -22 + -21s + 21s Combine like terms: -15s + 21s = 6s 6s = -22 + -21s + 21s Combine like terms: -21s + 21s = 0 6s = -22 + 0 6s = -22 Divide each side by '6'. s = -3.666666667 Simplifying s = -3.666666667
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