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Simplifying -2(5s + -3) + -6 = -2(9s + 2) + -3 Reorder the terms: -2(-3 + 5s) + -6 = -2(9s + 2) + -3 (-3 * -2 + 5s * -2) + -6 = -2(9s + 2) + -3 (6 + -10s) + -6 = -2(9s + 2) + -3 Reorder the terms: 6 + -6 + -10s = -2(9s + 2) + -3 Combine like terms: 6 + -6 = 0 0 + -10s = -2(9s + 2) + -3 -10s = -2(9s + 2) + -3 Reorder the terms: -10s = -2(2 + 9s) + -3 -10s = (2 * -2 + 9s * -2) + -3 -10s = (-4 + -18s) + -3 Reorder the terms: -10s = -4 + -3 + -18s Combine like terms: -4 + -3 = -7 -10s = -7 + -18s Solving -10s = -7 + -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. -10s + 18s = -7 + -18s + 18s Combine like terms: -10s + 18s = 8s 8s = -7 + -18s + 18s Combine like terms: -18s + 18s = 0 8s = -7 + 0 8s = -7 Divide each side by '8'. s = -0.875 Simplifying s = -0.875
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