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Simplifying -9w + 36 = -7(w + -4) Reorder the terms: 36 + -9w = -7(w + -4) Reorder the terms: 36 + -9w = -7(-4 + w) 36 + -9w = (-4 * -7 + w * -7) 36 + -9w = (28 + -7w) Solving 36 + -9w = 28 + -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. 36 + -9w + 7w = 28 + -7w + 7w Combine like terms: -9w + 7w = -2w 36 + -2w = 28 + -7w + 7w Combine like terms: -7w + 7w = 0 36 + -2w = 28 + 0 36 + -2w = 28 Add '-36' to each side of the equation. 36 + -36 + -2w = 28 + -36 Combine like terms: 36 + -36 = 0 0 + -2w = 28 + -36 -2w = 28 + -36 Combine like terms: 28 + -36 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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