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Simplifying 8(2w + -1) + -4w = -116 Reorder the terms: 8(-1 + 2w) + -4w = -116 (-1 * 8 + 2w * 8) + -4w = -116 (-8 + 16w) + -4w = -116 Combine like terms: 16w + -4w = 12w -8 + 12w = -116 Solving -8 + 12w = -116 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 = -116 + 8 Combine like terms: -8 + 8 = 0 0 + 12w = -116 + 8 12w = -116 + 8 Combine like terms: -116 + 8 = -108 12w = -108 Divide each side by '12'. w = -9 Simplifying w = -9
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