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Simplifying -2(5s + -3) + -6 = -2(7s + 8) + -2 Reorder the terms: -2(-3 + 5s) + -6 = -2(7s + 8) + -2 (-3 * -2 + 5s * -2) + -6 = -2(7s + 8) + -2 (6 + -10s) + -6 = -2(7s + 8) + -2 Reorder the terms: 6 + -6 + -10s = -2(7s + 8) + -2 Combine like terms: 6 + -6 = 0 0 + -10s = -2(7s + 8) + -2 -10s = -2(7s + 8) + -2 Reorder the terms: -10s = -2(8 + 7s) + -2 -10s = (8 * -2 + 7s * -2) + -2 -10s = (-16 + -14s) + -2 Reorder the terms: -10s = -16 + -2 + -14s Combine like terms: -16 + -2 = -18 -10s = -18 + -14s Solving -10s = -18 + -14s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '14s' to each side of the equation. -10s + 14s = -18 + -14s + 14s Combine like terms: -10s + 14s = 4s 4s = -18 + -14s + 14s Combine like terms: -14s + 14s = 0 4s = -18 + 0 4s = -18 Divide each side by '4'. s = -4.5 Simplifying s = -4.5
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