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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 = 124 12w = 124 Divide each side by '12'. w = 10.33333333 Simplifying w = 10.33333333
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