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Simplifying -22 = 3w + -7 Reorder the terms: -22 = -7 + 3w Solving -22 = -7 + 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. -22 + -3w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 -22 + -3w = -7 + 0 -22 + -3w = -7 Add '22' to each side of the equation. -22 + 22 + -3w = -7 + 22 Combine like terms: -22 + 22 = 0 0 + -3w = -7 + 22 -3w = -7 + 22 Combine like terms: -7 + 22 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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