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Simplifying w + 2 = 7w + -16 Reorder the terms: 2 + w = 7w + -16 Reorder the terms: 2 + w = -16 + 7w Solving 2 + w = -16 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 2 + w + -7w = -16 + 7w + -7w Combine like terms: w + -7w = -6w 2 + -6w = -16 + 7w + -7w Combine like terms: 7w + -7w = 0 2 + -6w = -16 + 0 2 + -6w = -16 Add '-2' to each side of the equation. 2 + -2 + -6w = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -6w = -16 + -2 -6w = -16 + -2 Combine like terms: -16 + -2 = -18 -6w = -18 Divide each side by '-6'. w = 3 Simplifying w = 3
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