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Simplifying 19 = -3(w + 2) + 7 Reorder the terms: 19 = -3(2 + w) + 7 19 = (2 * -3 + w * -3) + 7 19 = (-6 + -3w) + 7 Reorder the terms: 19 = -6 + 7 + -3w Combine like terms: -6 + 7 = 1 19 = 1 + -3w Solving 19 = 1 + -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. 19 + 3w = 1 + -3w + 3w Combine like terms: -3w + 3w = 0 19 + 3w = 1 + 0 19 + 3w = 1 Add '-19' to each side of the equation. 19 + -19 + 3w = 1 + -19 Combine like terms: 19 + -19 = 0 0 + 3w = 1 + -19 3w = 1 + -19 Combine like terms: 1 + -19 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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