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Simplifying 4(4 + (-9)) = 7w + 18 4(4 + -9) = 7w + 18 Combine like terms: 4 + -9 = -5 4(-5) = 7w + 18 Multiply 4 * -5 -20 = 7w + 18 Reorder the terms: -20 = 18 + 7w Solving -20 = 18 + 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. -20 + -7w = 18 + 7w + -7w Combine like terms: 7w + -7w = 0 -20 + -7w = 18 + 0 -20 + -7w = 18 Add '20' to each side of the equation. -20 + 20 + -7w = 18 + 20 Combine like terms: -20 + 20 = 0 0 + -7w = 18 + 20 -7w = 18 + 20 Combine like terms: 18 + 20 = 38 -7w = 38 Divide each side by '-7'. w = -5.428571429 Simplifying w = -5.428571429
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