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Simplifying 4(w + 3) + -6w = 30 Reorder the terms: 4(3 + w) + -6w = 30 (3 * 4 + w * 4) + -6w = 30 (12 + 4w) + -6w = 30 Combine like terms: 4w + -6w = -2w 12 + -2w = 30 Solving 12 + -2w = 30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2w = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 30 + -12 -2w = 30 + -12 Combine like terms: 30 + -12 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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