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Simplifying -37 = -7w + 5(w + -7) Reorder the terms: -37 = -7w + 5(-7 + w) -37 = -7w + (-7 * 5 + w * 5) -37 = -7w + (-35 + 5w) Reorder the terms: -37 = -35 + -7w + 5w Combine like terms: -7w + 5w = -2w -37 = -35 + -2w Solving -37 = -35 + -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. -37 + 2w = -35 + -2w + 2w Combine like terms: -2w + 2w = 0 -37 + 2w = -35 + 0 -37 + 2w = -35 Add '37' to each side of the equation. -37 + 37 + 2w = -35 + 37 Combine like terms: -37 + 37 = 0 0 + 2w = -35 + 37 2w = -35 + 37 Combine like terms: -35 + 37 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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