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Simplifying 18 + 15w = -9(-2w + 4) Reorder the terms: 18 + 15w = -9(4 + -2w) 18 + 15w = (4 * -9 + -2w * -9) 18 + 15w = (-36 + 18w) Solving 18 + 15w = -36 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. 18 + 15w + -18w = -36 + 18w + -18w Combine like terms: 15w + -18w = -3w 18 + -3w = -36 + 18w + -18w Combine like terms: 18w + -18w = 0 18 + -3w = -36 + 0 18 + -3w = -36 Add '-18' to each side of the equation. 18 + -18 + -3w = -36 + -18 Combine like terms: 18 + -18 = 0 0 + -3w = -36 + -18 -3w = -36 + -18 Combine like terms: -36 + -18 = -54 -3w = -54 Divide each side by '-3'. w = 18 Simplifying w = 18
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