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Simplifying 4w(-5) = 4 * 3(w + 4) Reorder the terms for easier multiplication: 4 * -5w = 4 * 3(w + 4) Multiply 4 * -5 -20w = 4 * 3(w + 4) Reorder the terms: -20w = 4 * 3(4 + w) Multiply 4 * 3 -20w = 12(4 + w) -20w = (4 * 12 + w * 12) -20w = (48 + 12w) Solving -20w = 48 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -20w + -12w = 48 + 12w + -12w Combine like terms: -20w + -12w = -32w -32w = 48 + 12w + -12w Combine like terms: 12w + -12w = 0 -32w = 48 + 0 -32w = 48 Divide each side by '-32'. w = -1.5 Simplifying w = -1.5
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