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Simplifying -3w + -37 = 5(w + -9) Reorder the terms: -37 + -3w = 5(w + -9) Reorder the terms: -37 + -3w = 5(-9 + w) -37 + -3w = (-9 * 5 + w * 5) -37 + -3w = (-45 + 5w) Solving -37 + -3w = -45 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -37 + -3w + -5w = -45 + 5w + -5w Combine like terms: -3w + -5w = -8w -37 + -8w = -45 + 5w + -5w Combine like terms: 5w + -5w = 0 -37 + -8w = -45 + 0 -37 + -8w = -45 Add '37' to each side of the equation. -37 + 37 + -8w = -45 + 37 Combine like terms: -37 + 37 = 0 0 + -8w = -45 + 37 -8w = -45 + 37 Combine like terms: -45 + 37 = -8 -8w = -8 Divide each side by '-8'. w = 1 Simplifying w = 1
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