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Simplifying 5w + -27 = 2(w + -3) Reorder the terms: -27 + 5w = 2(w + -3) Reorder the terms: -27 + 5w = 2(-3 + w) -27 + 5w = (-3 * 2 + w * 2) -27 + 5w = (-6 + 2w) Solving -27 + 5w = -6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -27 + 5w + -2w = -6 + 2w + -2w Combine like terms: 5w + -2w = 3w -27 + 3w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 -27 + 3w = -6 + 0 -27 + 3w = -6 Add '27' to each side of the equation. -27 + 27 + 3w = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 3w = -6 + 27 3w = -6 + 27 Combine like terms: -6 + 27 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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