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Simplifying 3[4w + -1] + -5 = 10 Reorder the terms: 3[-1 + 4w] + -5 = 10 [-1 * 3 + 4w * 3] + -5 = 10 [-3 + 12w] + -5 = 10 Reorder the terms: -3 + -5 + 12w = 10 Combine like terms: -3 + -5 = -8 -8 + 12w = 10 Solving -8 + 12w = 10 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 = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 12w = 10 + 8 12w = 10 + 8 Combine like terms: 10 + 8 = 18 12w = 18 Divide each side by '12'. w = 1.5 Simplifying w = 1.5
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