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