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Simplifying -2w + -40 = -9(w + 6) Reorder the terms: -40 + -2w = -9(w + 6) Reorder the terms: -40 + -2w = -9(6 + w) -40 + -2w = (6 * -9 + w * -9) -40 + -2w = (-54 + -9w) Solving -40 + -2w = -54 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -40 + -2w + 9w = -54 + -9w + 9w Combine like terms: -2w + 9w = 7w -40 + 7w = -54 + -9w + 9w Combine like terms: -9w + 9w = 0 -40 + 7w = -54 + 0 -40 + 7w = -54 Add '40' to each side of the equation. -40 + 40 + 7w = -54 + 40 Combine like terms: -40 + 40 = 0 0 + 7w = -54 + 40 7w = -54 + 40 Combine like terms: -54 + 40 = -14 7w = -14 Divide each side by '7'. w = -2 Simplifying w = -2
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