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Simplifying 2s + -3(2s + -3) + 2 = 31 Reorder the terms: 2s + -3(-3 + 2s) + 2 = 31 2s + (-3 * -3 + 2s * -3) + 2 = 31 2s + (9 + -6s) + 2 = 31 Reorder the terms: 9 + 2 + 2s + -6s = 31 Combine like terms: 9 + 2 = 11 11 + 2s + -6s = 31 Combine like terms: 2s + -6s = -4s 11 + -4s = 31 Solving 11 + -4s = 31 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4s = 31 + -11 Combine like terms: 11 + -11 = 0 0 + -4s = 31 + -11 -4s = 31 + -11 Combine like terms: 31 + -11 = 20 -4s = 20 Divide each side by '-4'. s = -5 Simplifying s = -5
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