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Simplifying -15 = -7w + 4(w + 3) Reorder the terms: -15 = -7w + 4(3 + w) -15 = -7w + (3 * 4 + w * 4) -15 = -7w + (12 + 4w) Reorder the terms: -15 = 12 + -7w + 4w Combine like terms: -7w + 4w = -3w -15 = 12 + -3w Solving -15 = 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. -15 + 3w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 -15 + 3w = 12 + 0 -15 + 3w = 12 Add '15' to each side of the equation. -15 + 15 + 3w = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3w = 12 + 15 3w = 12 + 15 Combine like terms: 12 + 15 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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