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Simplifying 12 = -7w + 3(w + -4) Reorder the terms: 12 = -7w + 3(-4 + w) 12 = -7w + (-4 * 3 + w * 3) 12 = -7w + (-12 + 3w) Reorder the terms: 12 = -12 + -7w + 3w Combine like terms: -7w + 3w = -4w 12 = -12 + -4w Solving 12 = -12 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 12 + 4w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 4w = -12 + 0 12 + 4w = -12 Add '-12' to each side of the equation. 12 + -12 + 4w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = -12 + -12 4w = -12 + -12 Combine like terms: -12 + -12 = -24 4w = -24 Divide each side by '4'. w = -6 Simplifying w = -6
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