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Simplifying -38 = 7w + 17 + -12 Reorder the terms: -38 = 17 + -12 + 7w Combine like terms: 17 + -12 = 5 -38 = 5 + 7w Solving -38 = 5 + 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. -38 + -7w = 5 + 7w + -7w Combine like terms: 7w + -7w = 0 -38 + -7w = 5 + 0 -38 + -7w = 5 Add '38' to each side of the equation. -38 + 38 + -7w = 5 + 38 Combine like terms: -38 + 38 = 0 0 + -7w = 5 + 38 -7w = 5 + 38 Combine like terms: 5 + 38 = 43 -7w = 43 Divide each side by '-7'. w = -6.142857143 Simplifying w = -6.142857143
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