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Simplifying -5w + -37 = 3(w + -7) Reorder the terms: -37 + -5w = 3(w + -7) Reorder the terms: -37 + -5w = 3(-7 + w) -37 + -5w = (-7 * 3 + w * 3) -37 + -5w = (-21 + 3w) Solving -37 + -5w = -21 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -37 + -5w + -3w = -21 + 3w + -3w Combine like terms: -5w + -3w = -8w -37 + -8w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 -37 + -8w = -21 + 0 -37 + -8w = -21 Add '37' to each side of the equation. -37 + 37 + -8w = -21 + 37 Combine like terms: -37 + 37 = 0 0 + -8w = -21 + 37 -8w = -21 + 37 Combine like terms: -21 + 37 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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