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Simplifying 4(w + 4) + -6w = 34 Reorder the terms: 4(4 + w) + -6w = 34 (4 * 4 + w * 4) + -6w = 34 (16 + 4w) + -6w = 34 Combine like terms: 4w + -6w = -2w 16 + -2w = 34 Solving 16 + -2w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2w = 34 + -16 Combine like terms: 16 + -16 = 0 0 + -2w = 34 + -16 -2w = 34 + -16 Combine like terms: 34 + -16 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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