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Simplifying 5(w + -3) = 7w + -27 Reorder the terms: 5(-3 + w) = 7w + -27 (-3 * 5 + w * 5) = 7w + -27 (-15 + 5w) = 7w + -27 Reorder the terms: -15 + 5w = -27 + 7w Solving -15 + 5w = -27 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -15 + 5w + -7w = -27 + 7w + -7w Combine like terms: 5w + -7w = -2w -15 + -2w = -27 + 7w + -7w Combine like terms: 7w + -7w = 0 -15 + -2w = -27 + 0 -15 + -2w = -27 Add '15' to each side of the equation. -15 + 15 + -2w = -27 + 15 Combine like terms: -15 + 15 = 0 0 + -2w = -27 + 15 -2w = -27 + 15 Combine like terms: -27 + 15 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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