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Simplifying -7w + -14 = 6(w + 2) Reorder the terms: -14 + -7w = 6(w + 2) Reorder the terms: -14 + -7w = 6(2 + w) -14 + -7w = (2 * 6 + w * 6) -14 + -7w = (12 + 6w) Solving -14 + -7w = 12 + 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. -14 + -7w + -6w = 12 + 6w + -6w Combine like terms: -7w + -6w = -13w -14 + -13w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 -14 + -13w = 12 + 0 -14 + -13w = 12 Add '14' to each side of the equation. -14 + 14 + -13w = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -13w = 12 + 14 -13w = 12 + 14 Combine like terms: 12 + 14 = 26 -13w = 26 Divide each side by '-13'. w = -2 Simplifying w = -2
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