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Simplifying 2(w + -4) + -8w = 22 Reorder the terms: 2(-4 + w) + -8w = 22 (-4 * 2 + w * 2) + -8w = 22 (-8 + 2w) + -8w = 22 Combine like terms: 2w + -8w = -6w -8 + -6w = 22 Solving -8 + -6w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -6w = 22 + 8 Combine like terms: -8 + 8 = 0 0 + -6w = 22 + 8 -6w = 22 + 8 Combine like terms: 22 + 8 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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