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Simplifying 7(w + -1) = 3(3w + 5) Reorder the terms: 7(-1 + w) = 3(3w + 5) (-1 * 7 + w * 7) = 3(3w + 5) (-7 + 7w) = 3(3w + 5) Reorder the terms: -7 + 7w = 3(5 + 3w) -7 + 7w = (5 * 3 + 3w * 3) -7 + 7w = (15 + 9w) Solving -7 + 7w = 15 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -7 + 7w + -9w = 15 + 9w + -9w Combine like terms: 7w + -9w = -2w -7 + -2w = 15 + 9w + -9w Combine like terms: 9w + -9w = 0 -7 + -2w = 15 + 0 -7 + -2w = 15 Add '7' to each side of the equation. -7 + 7 + -2w = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = 15 + 7 -2w = 15 + 7 Combine like terms: 15 + 7 = 22 -2w = 22 Divide each side by '-2'. w = -11 Simplifying w = -11
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