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Simplifying 2w + 18 = -4(w + -3) Reorder the terms: 18 + 2w = -4(w + -3) Reorder the terms: 18 + 2w = -4(-3 + w) 18 + 2w = (-3 * -4 + w * -4) 18 + 2w = (12 + -4w) Solving 18 + 2w = 12 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 18 + 2w + 4w = 12 + -4w + 4w Combine like terms: 2w + 4w = 6w 18 + 6w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 18 + 6w = 12 + 0 18 + 6w = 12 Add '-18' to each side of the equation. 18 + -18 + 6w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 6w = 12 + -18 6w = 12 + -18 Combine like terms: 12 + -18 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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