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Simplifying -7w + -1(w + 4) = 12 Reorder the terms: -7w + -1(4 + w) = 12 -7w + (4 * -1 + w * -1) = 12 -7w + (-4 + -1w) = 12 Reorder the terms: -4 + -7w + -1w = 12 Combine like terms: -7w + -1w = -8w -4 + -8w = 12 Solving -4 + -8w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -8w = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -8w = 12 + 4 -8w = 12 + 4 Combine like terms: 12 + 4 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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