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Simplifying 4(w + -3) = -6w + -42 Reorder the terms: 4(-3 + w) = -6w + -42 (-3 * 4 + w * 4) = -6w + -42 (-12 + 4w) = -6w + -42 Reorder the terms: -12 + 4w = -42 + -6w Solving -12 + 4w = -42 + -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. -12 + 4w + 6w = -42 + -6w + 6w Combine like terms: 4w + 6w = 10w -12 + 10w = -42 + -6w + 6w Combine like terms: -6w + 6w = 0 -12 + 10w = -42 + 0 -12 + 10w = -42 Add '12' to each side of the equation. -12 + 12 + 10w = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 10w = -42 + 12 10w = -42 + 12 Combine like terms: -42 + 12 = -30 10w = -30 Divide each side by '10'. w = -3 Simplifying w = -3
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