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Simplifying -9w + -2 = -6 + -7(w + 6) Reorder the terms: -2 + -9w = -6 + -7(w + 6) Reorder the terms: -2 + -9w = -6 + -7(6 + w) -2 + -9w = -6 + (6 * -7 + w * -7) -2 + -9w = -6 + (-42 + -7w) Combine like terms: -6 + -42 = -48 -2 + -9w = -48 + -7w Solving -2 + -9w = -48 + -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. -2 + -9w + 7w = -48 + -7w + 7w Combine like terms: -9w + 7w = -2w -2 + -2w = -48 + -7w + 7w Combine like terms: -7w + 7w = 0 -2 + -2w = -48 + 0 -2 + -2w = -48 Add '2' to each side of the equation. -2 + 2 + -2w = -48 + 2 Combine like terms: -2 + 2 = 0 0 + -2w = -48 + 2 -2w = -48 + 2 Combine like terms: -48 + 2 = -46 -2w = -46 Divide each side by '-2'. w = 23 Simplifying w = 23
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