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Simplifying 5w + -35 = 7(w + -7) Reorder the terms: -35 + 5w = 7(w + -7) Reorder the terms: -35 + 5w = 7(-7 + w) -35 + 5w = (-7 * 7 + w * 7) -35 + 5w = (-49 + 7w) Solving -35 + 5w = -49 + 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. -35 + 5w + -7w = -49 + 7w + -7w Combine like terms: 5w + -7w = -2w -35 + -2w = -49 + 7w + -7w Combine like terms: 7w + -7w = 0 -35 + -2w = -49 + 0 -35 + -2w = -49 Add '35' to each side of the equation. -35 + 35 + -2w = -49 + 35 Combine like terms: -35 + 35 = 0 0 + -2w = -49 + 35 -2w = -49 + 35 Combine like terms: -49 + 35 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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