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Simplifying 6(w + -7) = 8w + -22 Reorder the terms: 6(-7 + w) = 8w + -22 (-7 * 6 + w * 6) = 8w + -22 (-42 + 6w) = 8w + -22 Reorder the terms: -42 + 6w = -22 + 8w Solving -42 + 6w = -22 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -42 + 6w + -8w = -22 + 8w + -8w Combine like terms: 6w + -8w = -2w -42 + -2w = -22 + 8w + -8w Combine like terms: 8w + -8w = 0 -42 + -2w = -22 + 0 -42 + -2w = -22 Add '42' to each side of the equation. -42 + 42 + -2w = -22 + 42 Combine like terms: -42 + 42 = 0 0 + -2w = -22 + 42 -2w = -22 + 42 Combine like terms: -22 + 42 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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