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Simplifying 7(w + -4) + 3w + -27 = 0 Reorder the terms: 7(-4 + w) + 3w + -27 = 0 (-4 * 7 + w * 7) + 3w + -27 = 0 (-28 + 7w) + 3w + -27 = 0 Reorder the terms: -28 + -27 + 7w + 3w = 0 Combine like terms: -28 + -27 = -55 -55 + 7w + 3w = 0 Combine like terms: 7w + 3w = 10w -55 + 10w = 0 Solving -55 + 10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 10w = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 10w = 0 + 55 10w = 0 + 55 Combine like terms: 0 + 55 = 55 10w = 55 Divide each side by '10'. w = 5.5 Simplifying w = 5.5
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