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Simplifying 6w + 5 = -2(3w + -7) + -9 Reorder the terms: 5 + 6w = -2(3w + -7) + -9 Reorder the terms: 5 + 6w = -2(-7 + 3w) + -9 5 + 6w = (-7 * -2 + 3w * -2) + -9 5 + 6w = (14 + -6w) + -9 Reorder the terms: 5 + 6w = 14 + -9 + -6w Combine like terms: 14 + -9 = 5 5 + 6w = 5 + -6w Add '-5' to each side of the equation. 5 + -5 + 6w = 5 + -5 + -6w Combine like terms: 5 + -5 = 0 0 + 6w = 5 + -5 + -6w 6w = 5 + -5 + -6w Combine like terms: 5 + -5 = 0 6w = 0 + -6w 6w = -6w Solving 6w = -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. 6w + 6w = -6w + 6w Combine like terms: 6w + 6w = 12w 12w = -6w + 6w Combine like terms: -6w + 6w = 0 12w = 0 Divide each side by '12'. w = 0 Simplifying w = 0
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