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Simplifying 5 = 7 + -2(6w + 1) Reorder the terms: 5 = 7 + -2(1 + 6w) 5 = 7 + (1 * -2 + 6w * -2) 5 = 7 + (-2 + -12w) Combine like terms: 7 + -2 = 5 5 = 5 + -12w Add '-5' to each side of the equation. 5 + -5 = 5 + -5 + -12w Combine like terms: 5 + -5 = 0 0 = 5 + -5 + -12w Combine like terms: 5 + -5 = 0 0 = 0 + -12w 0 = -12w Solving 0 = -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 0 + 12w = -12w + 12w Remove the zero: 12w = -12w + 12w Combine like terms: -12w + 12w = 0 12w = 0 Divide each side by '12'. w = 0 Simplifying w = 0
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