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Simplifying 3(w + -2) + 7 = 1 + -4w Reorder the terms: 3(-2 + w) + 7 = 1 + -4w (-2 * 3 + w * 3) + 7 = 1 + -4w (-6 + 3w) + 7 = 1 + -4w Reorder the terms: -6 + 7 + 3w = 1 + -4w Combine like terms: -6 + 7 = 1 1 + 3w = 1 + -4w Add '-1' to each side of the equation. 1 + -1 + 3w = 1 + -1 + -4w Combine like terms: 1 + -1 = 0 0 + 3w = 1 + -1 + -4w 3w = 1 + -1 + -4w Combine like terms: 1 + -1 = 0 3w = 0 + -4w 3w = -4w Solving 3w = -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 3w + 4w = -4w + 4w Combine like terms: 3w + 4w = 7w 7w = -4w + 4w Combine like terms: -4w + 4w = 0 7w = 0 Divide each side by '7'. w = 0 Simplifying w = 0
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