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Simplifying -1w + -1 = 6w + 20 Reorder the terms: -1 + -1w = 6w + 20 Reorder the terms: -1 + -1w = 20 + 6w Solving -1 + -1w = 20 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -1 + -1w + -6w = 20 + 6w + -6w Combine like terms: -1w + -6w = -7w -1 + -7w = 20 + 6w + -6w Combine like terms: 6w + -6w = 0 -1 + -7w = 20 + 0 -1 + -7w = 20 Add '1' to each side of the equation. -1 + 1 + -7w = 20 + 1 Combine like terms: -1 + 1 = 0 0 + -7w = 20 + 1 -7w = 20 + 1 Combine like terms: 20 + 1 = 21 -7w = 21 Divide each side by '-7'. w = -3 Simplifying w = -3
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