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Simplifying 8(2w + -1) + -4w = -16 Reorder the terms: 8(-1 + 2w) + -4w = -16 (-1 * 8 + 2w * 8) + -4w = -16 (-8 + 16w) + -4w = -16 Combine like terms: 16w + -4w = 12w -8 + 12w = -16 Solving -8 + 12w = -16 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12w = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 12w = -16 + 8 12w = -16 + 8 Combine like terms: -16 + 8 = -8 12w = -8 Divide each side by '12'. w = -0.6666666667 Simplifying w = -0.6666666667
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