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Simplifying 4[3w + 1] + -7 = 17 Reorder the terms: 4[1 + 3w] + -7 = 17 [1 * 4 + 3w * 4] + -7 = 17 [4 + 12w] + -7 = 17 Reorder the terms: 4 + -7 + 12w = 17 Combine like terms: 4 + -7 = -3 -3 + 12w = 17 Solving -3 + 12w = 17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12w = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 12w = 17 + 3 12w = 17 + 3 Combine like terms: 17 + 3 = 20 12w = 20 Divide each side by '12'. w = 1.666666667 Simplifying w = 1.666666667
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