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Simplifying w + -1407 = -27w + -7 Reorder the terms: -1407 + w = -27w + -7 Reorder the terms: -1407 + w = -7 + -27w Solving -1407 + w = -7 + -27w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '27w' to each side of the equation. -1407 + w + 27w = -7 + -27w + 27w Combine like terms: w + 27w = 28w -1407 + 28w = -7 + -27w + 27w Combine like terms: -27w + 27w = 0 -1407 + 28w = -7 + 0 -1407 + 28w = -7 Add '1407' to each side of the equation. -1407 + 1407 + 28w = -7 + 1407 Combine like terms: -1407 + 1407 = 0 0 + 28w = -7 + 1407 28w = -7 + 1407 Combine like terms: -7 + 1407 = 1400 28w = 1400 Divide each side by '28'. w = 50 Simplifying w = 50
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