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Simplifying 7w + -6 = 3[w + 6] Reorder the terms: -6 + 7w = 3[w + 6] Reorder the terms: -6 + 7w = 3[6 + w] -6 + 7w = [6 * 3 + w * 3] -6 + 7w = [18 + 3w] Solving -6 + 7w = 18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -6 + 7w + -3w = 18 + 3w + -3w Combine like terms: 7w + -3w = 4w -6 + 4w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + 4w = 18 + 0 -6 + 4w = 18 Add '6' to each side of the equation. -6 + 6 + 4w = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 4w = 18 + 6 4w = 18 + 6 Combine like terms: 18 + 6 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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