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Simplifying -7(w + -4) = 3w + -27 Reorder the terms: -7(-4 + w) = 3w + -27 (-4 * -7 + w * -7) = 3w + -27 (28 + -7w) = 3w + -27 Reorder the terms: 28 + -7w = -27 + 3w Solving 28 + -7w = -27 + 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. 28 + -7w + -3w = -27 + 3w + -3w Combine like terms: -7w + -3w = -10w 28 + -10w = -27 + 3w + -3w Combine like terms: 3w + -3w = 0 28 + -10w = -27 + 0 28 + -10w = -27 Add '-28' to each side of the equation. 28 + -28 + -10w = -27 + -28 Combine like terms: 28 + -28 = 0 0 + -10w = -27 + -28 -10w = -27 + -28 Combine like terms: -27 + -28 = -55 -10w = -55 Divide each side by '-10'. w = 5.5 Simplifying w = 5.5
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