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Simplifying -30 = 3w + 4(w + 3) Reorder the terms: -30 = 3w + 4(3 + w) -30 = 3w + (3 * 4 + w * 4) -30 = 3w + (12 + 4w) Reorder the terms: -30 = 12 + 3w + 4w Combine like terms: 3w + 4w = 7w -30 = 12 + 7w Solving -30 = 12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -30 + -7w = 12 + 7w + -7w Combine like terms: 7w + -7w = 0 -30 + -7w = 12 + 0 -30 + -7w = 12 Add '30' to each side of the equation. -30 + 30 + -7w = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -7w = 12 + 30 -7w = 12 + 30 Combine like terms: 12 + 30 = 42 -7w = 42 Divide each side by '-7'. w = -6 Simplifying w = -6
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