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Simplifying 8(w + -1) = 2w + -22 Reorder the terms: 8(-1 + w) = 2w + -22 (-1 * 8 + w * 8) = 2w + -22 (-8 + 8w) = 2w + -22 Reorder the terms: -8 + 8w = -22 + 2w Solving -8 + 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. -8 + 8w + -2w = -22 + 2w + -2w Combine like terms: 8w + -2w = 6w -8 + 6w = -22 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + 6w = -22 + 0 -8 + 6w = -22 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 = -14 6w = -14 Divide each side by '6'. w = -2.333333333 Simplifying w = -2.333333333
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