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Simplifying 1 + (w + -7) = 25 + -1(2w + 4) Reorder the terms: 1 + (-7 + w) = 25 + -1(2w + 4) Remove parenthesis around (-7 + w) 1 + -7 + w = 25 + -1(2w + 4) Combine like terms: 1 + -7 = -6 -6 + w = 25 + -1(2w + 4) Reorder the terms: -6 + w = 25 + -1(4 + 2w) -6 + w = 25 + (4 * -1 + 2w * -1) -6 + w = 25 + (-4 + -2w) Combine like terms: 25 + -4 = 21 -6 + w = 21 + -2w Solving -6 + w = 21 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -6 + w + 2w = 21 + -2w + 2w Combine like terms: w + 2w = 3w -6 + 3w = 21 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + 3w = 21 + 0 -6 + 3w = 21 Add '6' to each side of the equation. -6 + 6 + 3w = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 3w = 21 + 6 3w = 21 + 6 Combine like terms: 21 + 6 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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