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Simplifying 6w + 42 = 3(w + 4) Reorder the terms: 42 + 6w = 3(w + 4) Reorder the terms: 42 + 6w = 3(4 + w) 42 + 6w = (4 * 3 + w * 3) 42 + 6w = (12 + 3w) Solving 42 + 6w = 12 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 42 + 6w + -3w = 12 + 3w + -3w Combine like terms: 6w + -3w = 3w 42 + 3w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 42 + 3w = 12 + 0 42 + 3w = 12 Add '-42' to each side of the equation. 42 + -42 + 3w = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 3w = 12 + -42 3w = 12 + -42 Combine like terms: 12 + -42 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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