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Simplifying -4(w + -7) + 8w + 1 = 0 Reorder the terms: -4(-7 + w) + 8w + 1 = 0 (-7 * -4 + w * -4) + 8w + 1 = 0 (28 + -4w) + 8w + 1 = 0 Reorder the terms: 28 + 1 + -4w + 8w = 0 Combine like terms: 28 + 1 = 29 29 + -4w + 8w = 0 Combine like terms: -4w + 8w = 4w 29 + 4w = 0 Solving 29 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 4w = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4w = 0 + -29 4w = 0 + -29 Combine like terms: 0 + -29 = -29 4w = -29 Divide each side by '4'. w = -7.25 Simplifying w = -7.25
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