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Simplifying -6 + 5 + 4w = -3(17w + -18) Combine like terms: -6 + 5 = -1 -1 + 4w = -3(17w + -18) Reorder the terms: -1 + 4w = -3(-18 + 17w) -1 + 4w = (-18 * -3 + 17w * -3) -1 + 4w = (54 + -51w) Solving -1 + 4w = 54 + -51w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '51w' to each side of the equation. -1 + 4w + 51w = 54 + -51w + 51w Combine like terms: 4w + 51w = 55w -1 + 55w = 54 + -51w + 51w Combine like terms: -51w + 51w = 0 -1 + 55w = 54 + 0 -1 + 55w = 54 Add '1' to each side of the equation. -1 + 1 + 55w = 54 + 1 Combine like terms: -1 + 1 = 0 0 + 55w = 54 + 1 55w = 54 + 1 Combine like terms: 54 + 1 = 55 55w = 55 Divide each side by '55'. w = 1 Simplifying w = 1
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