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Simplifying 6(w + -7) = 4w + -22 Reorder the terms: 6(-7 + w) = 4w + -22 (-7 * 6 + w * 6) = 4w + -22 (-42 + 6w) = 4w + -22 Reorder the terms: -42 + 6w = -22 + 4w Solving -42 + 6w = -22 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -42 + 6w + -4w = -22 + 4w + -4w Combine like terms: 6w + -4w = 2w -42 + 2w = -22 + 4w + -4w Combine like terms: 4w + -4w = 0 -42 + 2w = -22 + 0 -42 + 2w = -22 Add '42' to each side of the equation. -42 + 42 + 2w = -22 + 42 Combine like terms: -42 + 42 = 0 0 + 2w = -22 + 42 2w = -22 + 42 Combine like terms: -22 + 42 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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