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Simplifying 6w + 42 = -6(w + -3) Reorder the terms: 42 + 6w = -6(w + -3) Reorder the terms: 42 + 6w = -6(-3 + w) 42 + 6w = (-3 * -6 + w * -6) 42 + 6w = (18 + -6w) Solving 42 + 6w = 18 + -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. 42 + 6w + 6w = 18 + -6w + 6w Combine like terms: 6w + 6w = 12w 42 + 12w = 18 + -6w + 6w Combine like terms: -6w + 6w = 0 42 + 12w = 18 + 0 42 + 12w = 18 Add '-42' to each side of the equation. 42 + -42 + 12w = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 12w = 18 + -42 12w = 18 + -42 Combine like terms: 18 + -42 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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