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Simplifying 6w + -18 = -6(w + -3) Reorder the terms: -18 + 6w = -6(w + -3) Reorder the terms: -18 + 6w = -6(-3 + w) -18 + 6w = (-3 * -6 + w * -6) -18 + 6w = (18 + -6w) Solving -18 + 6w = 18 + -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. -18 + 6w + 6w = 18 + -6w + 6w Combine like terms: 6w + 6w = 12w -18 + 12w = 18 + -6w + 6w Combine like terms: -6w + 6w = 0 -18 + 12w = 18 + 0 -18 + 12w = 18 Add '18' to each side of the equation. -18 + 18 + 12w = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 12w = 18 + 18 12w = 18 + 18 Combine like terms: 18 + 18 = 36 12w = 36 Divide each side by '12'. w = 3 Simplifying w = 3
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