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Simplifying -2(5s + -3) + -6 = -3(9s + 2) + -4 Reorder the terms: -2(-3 + 5s) + -6 = -3(9s + 2) + -4 (-3 * -2 + 5s * -2) + -6 = -3(9s + 2) + -4 (6 + -10s) + -6 = -3(9s + 2) + -4 Reorder the terms: 6 + -6 + -10s = -3(9s + 2) + -4 Combine like terms: 6 + -6 = 0 0 + -10s = -3(9s + 2) + -4 -10s = -3(9s + 2) + -4 Reorder the terms: -10s = -3(2 + 9s) + -4 -10s = (2 * -3 + 9s * -3) + -4 -10s = (-6 + -27s) + -4 Reorder the terms: -10s = -6 + -4 + -27s Combine like terms: -6 + -4 = -10 -10s = -10 + -27s Solving -10s = -10 + -27s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '27s' to each side of the equation. -10s + 27s = -10 + -27s + 27s Combine like terms: -10s + 27s = 17s 17s = -10 + -27s + 27s Combine like terms: -27s + 27s = 0 17s = -10 + 0 17s = -10 Divide each side by '17'. s = -0.5882352941 Simplifying s = -0.5882352941
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