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Simplifying 3(w + -1) + 7 = 4 + -6w Reorder the terms: 3(-1 + w) + 7 = 4 + -6w (-1 * 3 + w * 3) + 7 = 4 + -6w (-3 + 3w) + 7 = 4 + -6w Reorder the terms: -3 + 7 + 3w = 4 + -6w Combine like terms: -3 + 7 = 4 4 + 3w = 4 + -6w Add '-4' to each side of the equation. 4 + -4 + 3w = 4 + -4 + -6w Combine like terms: 4 + -4 = 0 0 + 3w = 4 + -4 + -6w 3w = 4 + -4 + -6w Combine like terms: 4 + -4 = 0 3w = 0 + -6w 3w = -6w Solving 3w = -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. 3w + 6w = -6w + 6w Combine like terms: 3w + 6w = 9w 9w = -6w + 6w Combine like terms: -6w + 6w = 0 9w = 0 Divide each side by '9'. w = 0 Simplifying w = 0
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