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Simplifying 8(2w + -2) + -4w = -116 Reorder the terms: 8(-2 + 2w) + -4w = -116 (-2 * 8 + 2w * 8) + -4w = -116 (-16 + 16w) + -4w = -116 Combine like terms: 16w + -4w = 12w -16 + 12w = -116 Solving -16 + 12w = -116 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12w = -116 + 16 Combine like terms: -16 + 16 = 0 0 + 12w = -116 + 16 12w = -116 + 16 Combine like terms: -116 + 16 = -100 12w = -100 Divide each side by '12'. w = -8.333333333 Simplifying w = -8.333333333
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