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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 = 12w -37 = 35 + 12w Solving -37 = 35 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -37 + -12w = 35 + 12w + -12w Combine like terms: 12w + -12w = 0 -37 + -12w = 35 + 0 -37 + -12w = 35 Add '37' to each side of the equation. -37 + 37 + -12w = 35 + 37 Combine like terms: -37 + 37 = 0 0 + -12w = 35 + 37 -12w = 35 + 37 Combine like terms: 35 + 37 = 72 -12w = 72 Divide each side by '-12'. w = -6 Simplifying w = -6
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