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Simplifying (6 + -2w) + -1(4w + w) + 1 = 0 Remove parenthesis around (6 + -2w) 6 + -2w + -1(4w + w) + 1 = 0 Combine like terms: 4w + w = 5w 6 + -2w + -1(5w) + 1 = 0 Remove parenthesis around (5w) 6 + -2w + -1 * 5w + 1 = 0 Multiply -1 * 5 6 + -2w + -5w + 1 = 0 Reorder the terms: 6 + 1 + -2w + -5w = 0 Combine like terms: 6 + 1 = 7 7 + -2w + -5w = 0 Combine like terms: -2w + -5w = -7w 7 + -7w = 0 Solving 7 + -7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7w = 0 + -7 -7w = 0 + -7 Combine like terms: 0 + -7 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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