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Simplifying -3(5s + -2) + -6 = -2(9s + 6) + -2 Reorder the terms: -3(-2 + 5s) + -6 = -2(9s + 6) + -2 (-2 * -3 + 5s * -3) + -6 = -2(9s + 6) + -2 (6 + -15s) + -6 = -2(9s + 6) + -2 Reorder the terms: 6 + -6 + -15s = -2(9s + 6) + -2 Combine like terms: 6 + -6 = 0 0 + -15s = -2(9s + 6) + -2 -15s = -2(9s + 6) + -2 Reorder the terms: -15s = -2(6 + 9s) + -2 -15s = (6 * -2 + 9s * -2) + -2 -15s = (-12 + -18s) + -2 Reorder the terms: -15s = -12 + -2 + -18s Combine like terms: -12 + -2 = -14 -15s = -14 + -18s Solving -15s = -14 + -18s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18s' to each side of the equation. -15s + 18s = -14 + -18s + 18s Combine like terms: -15s + 18s = 3s 3s = -14 + -18s + 18s Combine like terms: -18s + 18s = 0 3s = -14 + 0 3s = -14 Divide each side by '3'. s = -4.666666667 Simplifying s = -4.666666667
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