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Simplifying 4(w + -2) + -7 = 5 Reorder the terms: 4(-2 + w) + -7 = 5 (-2 * 4 + w * 4) + -7 = 5 (-8 + 4w) + -7 = 5 Reorder the terms: -8 + -7 + 4w = 5 Combine like terms: -8 + -7 = -15 -15 + 4w = 5 Solving -15 + 4w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4w = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 4w = 5 + 15 4w = 5 + 15 Combine like terms: 5 + 15 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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