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Simplifying 34 = 8(w + 6) + -6w Reorder the terms: 34 = 8(6 + w) + -6w 34 = (6 * 8 + w * 8) + -6w 34 = (48 + 8w) + -6w Combine like terms: 8w + -6w = 2w 34 = 48 + 2w Solving 34 = 48 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 34 + -2w = 48 + 2w + -2w Combine like terms: 2w + -2w = 0 34 + -2w = 48 + 0 34 + -2w = 48 Add '-34' to each side of the equation. 34 + -34 + -2w = 48 + -34 Combine like terms: 34 + -34 = 0 0 + -2w = 48 + -34 -2w = 48 + -34 Combine like terms: 48 + -34 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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