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Simplifying w + -14 = 3(w + -2) Reorder the terms: -14 + w = 3(w + -2) Reorder the terms: -14 + w = 3(-2 + w) -14 + w = (-2 * 3 + w * 3) -14 + w = (-6 + 3w) Solving -14 + w = -6 + 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. -14 + w + -3w = -6 + 3w + -3w Combine like terms: w + -3w = -2w -14 + -2w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 -14 + -2w = -6 + 0 -14 + -2w = -6 Add '14' to each side of the equation. -14 + 14 + -2w = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = -6 + 14 -2w = -6 + 14 Combine like terms: -6 + 14 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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