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Simplifying 4w + 34 = 6(w + 5) Reorder the terms: 34 + 4w = 6(w + 5) Reorder the terms: 34 + 4w = 6(5 + w) 34 + 4w = (5 * 6 + w * 6) 34 + 4w = (30 + 6w) Solving 34 + 4w = 30 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 34 + 4w + -6w = 30 + 6w + -6w Combine like terms: 4w + -6w = -2w 34 + -2w = 30 + 6w + -6w Combine like terms: 6w + -6w = 0 34 + -2w = 30 + 0 34 + -2w = 30 Add '-34' to each side of the equation. 34 + -34 + -2w = 30 + -34 Combine like terms: 34 + -34 = 0 0 + -2w = 30 + -34 -2w = 30 + -34 Combine like terms: 30 + -34 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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