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Simplifying -7w + 37 = 6(w + -9) Reorder the terms: 37 + -7w = 6(w + -9) Reorder the terms: 37 + -7w = 6(-9 + w) 37 + -7w = (-9 * 6 + w * 6) 37 + -7w = (-54 + 6w) Solving 37 + -7w = -54 + 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 + -7w + -6w = -54 + 6w + -6w Combine like terms: -7w + -6w = -13w 37 + -13w = -54 + 6w + -6w Combine like terms: 6w + -6w = 0 37 + -13w = -54 + 0 37 + -13w = -54 Add '-37' to each side of the equation. 37 + -37 + -13w = -54 + -37 Combine like terms: 37 + -37 = 0 0 + -13w = -54 + -37 -13w = -54 + -37 Combine like terms: -54 + -37 = -91 -13w = -91 Divide each side by '-13'. w = 7 Simplifying w = 7
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