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Simplifying -4(w + -8) = 2w + -22 Reorder the terms: -4(-8 + w) = 2w + -22 (-8 * -4 + w * -4) = 2w + -22 (32 + -4w) = 2w + -22 Reorder the terms: 32 + -4w = -22 + 2w Solving 32 + -4w = -22 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 32 + -4w + -2w = -22 + 2w + -2w Combine like terms: -4w + -2w = -6w 32 + -6w = -22 + 2w + -2w Combine like terms: 2w + -2w = 0 32 + -6w = -22 + 0 32 + -6w = -22 Add '-32' to each side of the equation. 32 + -32 + -6w = -22 + -32 Combine like terms: 32 + -32 = 0 0 + -6w = -22 + -32 -6w = -22 + -32 Combine like terms: -22 + -32 = -54 -6w = -54 Divide each side by '-6'. w = 9 Simplifying w = 9
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