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Simplifying 18 + -1w = -3(2w + -1) Reorder the terms: 18 + -1w = -3(-1 + 2w) 18 + -1w = (-1 * -3 + 2w * -3) 18 + -1w = (3 + -6w) Solving 18 + -1w = 3 + -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 + -1w + 6w = 3 + -6w + 6w Combine like terms: -1w + 6w = 5w 18 + 5w = 3 + -6w + 6w Combine like terms: -6w + 6w = 0 18 + 5w = 3 + 0 18 + 5w = 3 Add '-18' to each side of the equation. 18 + -18 + 5w = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 5w = 3 + -18 5w = 3 + -18 Combine like terms: 3 + -18 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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