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Simplifying -2(5s + -6) + -12 = -2(9s + 7) + -2 Reorder the terms: -2(-6 + 5s) + -12 = -2(9s + 7) + -2 (-6 * -2 + 5s * -2) + -12 = -2(9s + 7) + -2 (12 + -10s) + -12 = -2(9s + 7) + -2 Reorder the terms: 12 + -12 + -10s = -2(9s + 7) + -2 Combine like terms: 12 + -12 = 0 0 + -10s = -2(9s + 7) + -2 -10s = -2(9s + 7) + -2 Reorder the terms: -10s = -2(7 + 9s) + -2 -10s = (7 * -2 + 9s * -2) + -2 -10s = (-14 + -18s) + -2 Reorder the terms: -10s = -14 + -2 + -18s Combine like terms: -14 + -2 = -16 -10s = -16 + -18s Solving -10s = -16 + -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 = -16 + -18s + 18s Combine like terms: -10s + 18s = 8s 8s = -16 + -18s + 18s Combine like terms: -18s + 18s = 0 8s = -16 + 0 8s = -16 Divide each side by '8'. s = -2 Simplifying s = -2
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