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Simplifying -22 = 3w + 4(w + -2) Reorder the terms: -22 = 3w + 4(-2 + w) -22 = 3w + (-2 * 4 + w * 4) -22 = 3w + (-8 + 4w) Reorder the terms: -22 = -8 + 3w + 4w Combine like terms: 3w + 4w = 7w -22 = -8 + 7w Solving -22 = -8 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -22 + -7w = -8 + 7w + -7w Combine like terms: 7w + -7w = 0 -22 + -7w = -8 + 0 -22 + -7w = -8 Add '22' to each side of the equation. -22 + 22 + -7w = -8 + 22 Combine like terms: -22 + 22 = 0 0 + -7w = -8 + 22 -7w = -8 + 22 Combine like terms: -8 + 22 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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