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Simplifying -7w + 3 = 6(w + -6) Reorder the terms: 3 + -7w = 6(w + -6) Reorder the terms: 3 + -7w = 6(-6 + w) 3 + -7w = (-6 * 6 + w * 6) 3 + -7w = (-36 + 6w) Solving 3 + -7w = -36 + 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. 3 + -7w + -6w = -36 + 6w + -6w Combine like terms: -7w + -6w = -13w 3 + -13w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 3 + -13w = -36 + 0 3 + -13w = -36 Add '-3' to each side of the equation. 3 + -3 + -13w = -36 + -3 Combine like terms: 3 + -3 = 0 0 + -13w = -36 + -3 -13w = -36 + -3 Combine like terms: -36 + -3 = -39 -13w = -39 Divide each side by '-13'. w = 3 Simplifying w = 3
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