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Simplifying -5w + -37 = 6(w + 3) Reorder the terms: -37 + -5w = 6(w + 3) Reorder the terms: -37 + -5w = 6(3 + w) -37 + -5w = (3 * 6 + w * 6) -37 + -5w = (18 + 6w) Solving -37 + -5w = 18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -37 + -5w + -6w = 18 + 6w + -6w Combine like terms: -5w + -6w = -11w -37 + -11w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 -37 + -11w = 18 + 0 -37 + -11w = 18 Add '37' to each side of the equation. -37 + 37 + -11w = 18 + 37 Combine like terms: -37 + 37 = 0 0 + -11w = 18 + 37 -11w = 18 + 37 Combine like terms: 18 + 37 = 55 -11w = 55 Divide each side by '-11'. w = -5 Simplifying w = -5
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