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Simplifying 2w + -18 = -3(w + 1) Reorder the terms: -18 + 2w = -3(w + 1) Reorder the terms: -18 + 2w = -3(1 + w) -18 + 2w = (1 * -3 + w * -3) -18 + 2w = (-3 + -3w) Solving -18 + 2w = -3 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -18 + 2w + 3w = -3 + -3w + 3w Combine like terms: 2w + 3w = 5w -18 + 5w = -3 + -3w + 3w Combine like terms: -3w + 3w = 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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