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Simplifying -15w + -40 = 23 + -8w Reorder the terms: -40 + -15w = 23 + -8w Solving -40 + -15w = 23 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -40 + -15w + 8w = 23 + -8w + 8w Combine like terms: -15w + 8w = -7w -40 + -7w = 23 + -8w + 8w Combine like terms: -8w + 8w = 0 -40 + -7w = 23 + 0 -40 + -7w = 23 Add '40' to each side of the equation. -40 + 40 + -7w = 23 + 40 Combine like terms: -40 + 40 = 0 0 + -7w = 23 + 40 -7w = 23 + 40 Combine like terms: 23 + 40 = 63 -7w = 63 Divide each side by '-7'. w = -9 Simplifying w = -9
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