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Simplifying 6w + -6 = -6(w + 5) Reorder the terms: -6 + 6w = -6(w + 5) Reorder the terms: -6 + 6w = -6(5 + w) -6 + 6w = (5 * -6 + w * -6) -6 + 6w = (-30 + -6w) Solving -6 + 6w = -30 + -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. -6 + 6w + 6w = -30 + -6w + 6w Combine like terms: 6w + 6w = 12w -6 + 12w = -30 + -6w + 6w Combine like terms: -6w + 6w = 0 -6 + 12w = -30 + 0 -6 + 12w = -30 Add '6' to each side of the equation. -6 + 6 + 12w = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 12w = -30 + 6 12w = -30 + 6 Combine like terms: -30 + 6 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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