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Simplifying -3(5s + -4) + -12 = -3(7s + 5) + -5 Reorder the terms: -3(-4 + 5s) + -12 = -3(7s + 5) + -5 (-4 * -3 + 5s * -3) + -12 = -3(7s + 5) + -5 (12 + -15s) + -12 = -3(7s + 5) + -5 Reorder the terms: 12 + -12 + -15s = -3(7s + 5) + -5 Combine like terms: 12 + -12 = 0 0 + -15s = -3(7s + 5) + -5 -15s = -3(7s + 5) + -5 Reorder the terms: -15s = -3(5 + 7s) + -5 -15s = (5 * -3 + 7s * -3) + -5 -15s = (-15 + -21s) + -5 Reorder the terms: -15s = -15 + -5 + -21s Combine like terms: -15 + -5 = -20 -15s = -20 + -21s Solving -15s = -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. -15s + 21s = -20 + -21s + 21s Combine like terms: -15s + 21s = 6s 6s = -20 + -21s + 21s Combine like terms: -21s + 21s = 0 6s = -20 + 0 6s = -20 Divide each side by '6'. s = -3.333333333 Simplifying s = -3.333333333
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