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Simplifying -7(w + -4) + 3w + -27 = 0 Reorder the terms: -7(-4 + w) + 3w + -27 = 0 (-4 * -7 + w * -7) + 3w + -27 = 0 (28 + -7w) + 3w + -27 = 0 Reorder the terms: 28 + -27 + -7w + 3w = 0 Combine like terms: 28 + -27 = 1 1 + -7w + 3w = 0 Combine like terms: -7w + 3w = -4w 1 + -4w = 0 Solving 1 + -4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4w = 0 + -1 -4w = 0 + -1 Combine like terms: 0 + -1 = -1 -4w = -1 Divide each side by '-4'. w = 0.25 Simplifying w = 0.25
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