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Simplifying -2(5s + -3) + -6 = -3(9s + 7) + -3 Reorder the terms: -2(-3 + 5s) + -6 = -3(9s + 7) + -3 (-3 * -2 + 5s * -2) + -6 = -3(9s + 7) + -3 (6 + -10s) + -6 = -3(9s + 7) + -3 Reorder the terms: 6 + -6 + -10s = -3(9s + 7) + -3 Combine like terms: 6 + -6 = 0 0 + -10s = -3(9s + 7) + -3 -10s = -3(9s + 7) + -3 Reorder the terms: -10s = -3(7 + 9s) + -3 -10s = (7 * -3 + 9s * -3) + -3 -10s = (-21 + -27s) + -3 Reorder the terms: -10s = -21 + -3 + -27s Combine like terms: -21 + -3 = -24 -10s = -24 + -27s Solving -10s = -24 + -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 = -24 + -27s + 27s Combine like terms: -10s + 27s = 17s 17s = -24 + -27s + 27s Combine like terms: -27s + 27s = 0 17s = -24 + 0 17s = -24 Divide each side by '17'. s = -1.411764706 Simplifying s = -1.411764706
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