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Simplifying 4(w + 2) + 9(-4w) = 0 Reorder the terms: 4(2 + w) + 9(-4w) = 0 (2 * 4 + w * 4) + 9(-4w) = 0 (8 + 4w) + 9(-4w) = 0 Remove parenthesis around (-4w) 8 + 4w + 9 * -4w = 0 Multiply 9 * -4 8 + 4w + -36w = 0 Combine like terms: 4w + -36w = -32w 8 + -32w = 0 Solving 8 + -32w = 0 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 + -32w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -32w = 0 + -8 -32w = 0 + -8 Combine like terms: 0 + -8 = -8 -32w = -8 Divide each side by '-32'. w = 0.25 Simplifying w = 0.25
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