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Simplifying -8(w + 4) = -2w + 22 Reorder the terms: -8(4 + w) = -2w + 22 (4 * -8 + w * -8) = -2w + 22 (-32 + -8w) = -2w + 22 Reorder the terms: -32 + -8w = 22 + -2w Solving -32 + -8w = 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 + -8w + 2w = 22 + -2w + 2w Combine like terms: -8w + 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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