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Simplifying 7w + -2(4w + -3) + -4 = 5 Reorder the terms: 7w + -2(-3 + 4w) + -4 = 5 7w + (-3 * -2 + 4w * -2) + -4 = 5 7w + (6 + -8w) + -4 = 5 Reorder the terms: 6 + -4 + 7w + -8w = 5 Combine like terms: 6 + -4 = 2 2 + 7w + -8w = 5 Combine like terms: 7w + -8w = -1w 2 + -1w = 5 Solving 2 + -1w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 5 + -2 -1w = 5 + -2 Combine like terms: 5 + -2 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3
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