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Simplifying -3(w + -7) + 6w + 1 = 0 Reorder the terms: -3(-7 + w) + 6w + 1 = 0 (-7 * -3 + w * -3) + 6w + 1 = 0 (21 + -3w) + 6w + 1 = 0 Reorder the terms: 21 + 1 + -3w + 6w = 0 Combine like terms: 21 + 1 = 22 22 + -3w + 6w = 0 Combine like terms: -3w + 6w = 3w 22 + 3w = 0 Solving 22 + 3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 3w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 3w = 0 + -22 3w = 0 + -22 Combine like terms: 0 + -22 = -22 3w = -22 Divide each side by '3'. w = -7.333333333 Simplifying w = -7.333333333
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