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