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Simplifying 6 = -5w + 3(w + -4) Reorder the terms: 6 = -5w + 3(-4 + w) 6 = -5w + (-4 * 3 + w * 3) 6 = -5w + (-12 + 3w) Reorder the terms: 6 = -12 + -5w + 3w Combine like terms: -5w + 3w = -2w 6 = -12 + -2w Solving 6 = -12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 6 + 2w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 2w = -12 + 0 6 + 2w = -12 Add '-6' to each side of the equation. 6 + -6 + 2w = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = -12 + -6 2w = -12 + -6 Combine like terms: -12 + -6 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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