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Simplifying 7(6 + w) = 6(w + -2) (6 * 7 + w * 7) = 6(w + -2) (42 + 7w) = 6(w + -2) Reorder the terms: 42 + 7w = 6(-2 + w) 42 + 7w = (-2 * 6 + w * 6) 42 + 7w = (-12 + 6w) Solving 42 + 7w = -12 + 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. 42 + 7w + -6w = -12 + 6w + -6w Combine like terms: 7w + -6w = 1w 42 + 1w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 42 + 1w = -12 + 0 42 + 1w = -12 Add '-42' to each side of the equation. 42 + -42 + 1w = -12 + -42 Combine like terms: 42 + -42 = 0 0 + 1w = -12 + -42 1w = -12 + -42 Combine like terms: -12 + -42 = -54 1w = -54 Divide each side by '1'. w = -54 Simplifying w = -54
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