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Simplifying -6 = 4(w + 3) + -7w Reorder the terms: -6 = 4(3 + w) + -7w -6 = (3 * 4 + w * 4) + -7w -6 = (12 + 4w) + -7w Combine like terms: 4w + -7w = -3w -6 = 12 + -3w Solving -6 = 12 + -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 + 3w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 -6 + 3w = 12 + 0 -6 + 3w = 12 Add '6' to each side of the equation. -6 + 6 + 3w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3w = 12 + 6 3w = 12 + 6 Combine like terms: 12 + 6 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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