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Simplifying -3w + -42 = 3w + -6 Reorder the terms: -42 + -3w = 3w + -6 Reorder the terms: -42 + -3w = -6 + 3w Solving -42 + -3w = -6 + 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 + -3w + -3w = -6 + 3w + -3w Combine like terms: -3w + -3w = -6w -42 + -6w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 -42 + -6w = -6 + 0 -42 + -6w = -6 Add '42' to each side of the equation. -42 + 42 + -6w = -6 + 42 Combine like terms: -42 + 42 = 0 0 + -6w = -6 + 42 -6w = -6 + 42 Combine like terms: -6 + 42 = 36 -6w = 36 Divide each side by '-6'. w = -6 Simplifying w = -6
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