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Simplifying 30 = 3(w + -4) + 4w Reorder the terms: 30 = 3(-4 + w) + 4w 30 = (-4 * 3 + w * 3) + 4w 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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