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Simplifying 9w + -10 = 7(w + -4) Reorder the terms: -10 + 9w = 7(w + -4) Reorder the terms: -10 + 9w = 7(-4 + w) -10 + 9w = (-4 * 7 + w * 7) -10 + 9w = (-28 + 7w) Solving -10 + 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. -10 + 9w + -7w = -28 + 7w + -7w Combine like terms: 9w + -7w = 2w -10 + 2w = -28 + 7w + -7w Combine like terms: 7w + -7w = 0 -10 + 2w = -28 + 0 -10 + 2w = -28 Add '10' to each side of the equation. -10 + 10 + 2w = -28 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = -28 + 10 2w = -28 + 10 Combine like terms: -28 + 10 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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