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Simplifying -4(w + -3) = 2w + 42 Reorder the terms: -4(-3 + w) = 2w + 42 (-3 * -4 + w * -4) = 2w + 42 (12 + -4w) = 2w + 42 Reorder the terms: 12 + -4w = 42 + 2w Solving 12 + -4w = 42 + 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. 12 + -4w + -2w = 42 + 2w + -2w Combine like terms: -4w + -2w = -6w 12 + -6w = 42 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + -6w = 42 + 0 12 + -6w = 42 Add '-12' to each side of the equation. 12 + -12 + -6w = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -6w = 42 + -12 -6w = 42 + -12 Combine like terms: 42 + -12 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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