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Simplifying -2(2s + -6) + -12 = -3(7s + 5) + -5 Reorder the terms: -2(-6 + 2s) + -12 = -3(7s + 5) + -5 (-6 * -2 + 2s * -2) + -12 = -3(7s + 5) + -5 (12 + -4s) + -12 = -3(7s + 5) + -5 Reorder the terms: 12 + -12 + -4s = -3(7s + 5) + -5 Combine like terms: 12 + -12 = 0 0 + -4s = -3(7s + 5) + -5 -4s = -3(7s + 5) + -5 Reorder the terms: -4s = -3(5 + 7s) + -5 -4s = (5 * -3 + 7s * -3) + -5 -4s = (-15 + -21s) + -5 Reorder the terms: -4s = -15 + -5 + -21s Combine like terms: -15 + -5 = -20 -4s = -20 + -21s Solving -4s = -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. -4s + 21s = -20 + -21s + 21s Combine like terms: -4s + 21s = 17s 17s = -20 + -21s + 21s Combine like terms: -21s + 21s = 0 17s = -20 + 0 17s = -20 Divide each side by '17'. s = -1.176470588 Simplifying s = -1.176470588
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