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Simplifying -9w + 1 = -7(w + -3) Reorder the terms: 1 + -9w = -7(w + -3) Reorder the terms: 1 + -9w = -7(-3 + w) 1 + -9w = (-3 * -7 + w * -7) 1 + -9w = (21 + -7w) Solving 1 + -9w = 21 + -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. 1 + -9w + 7w = 21 + -7w + 7w Combine like terms: -9w + 7w = -2w 1 + -2w = 21 + -7w + 7w Combine like terms: -7w + 7w = 0 1 + -2w = 21 + 0 1 + -2w = 21 Add '-1' to each side of the equation. 1 + -1 + -2w = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 21 + -1 -2w = 21 + -1 Combine like terms: 21 + -1 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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