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Simplifying 5w + -22 = 7(w + -2) Reorder the terms: -22 + 5w = 7(w + -2) Reorder the terms: -22 + 5w = 7(-2 + w) -22 + 5w = (-2 * 7 + w * 7) -22 + 5w = (-14 + 7w) Solving -22 + 5w = -14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -22 + 5w + -7w = -14 + 7w + -7w Combine like terms: 5w + -7w = -2w -22 + -2w = -14 + 7w + -7w Combine like terms: 7w + -7w = 0 -22 + -2w = -14 + 0 -22 + -2w = -14 Add '22' to each side of the equation. -22 + 22 + -2w = -14 + 22 Combine like terms: -22 + 22 = 0 0 + -2w = -14 + 22 -2w = -14 + 22 Combine like terms: -14 + 22 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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