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