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Simplifying -8(w + 7) + -1(9w + -7) = -18w Reorder the terms: -8(7 + w) + -1(9w + -7) = -18w (7 * -8 + w * -8) + -1(9w + -7) = -18w (-56 + -8w) + -1(9w + -7) = -18w Reorder the terms: -56 + -8w + -1(-7 + 9w) = -18w -56 + -8w + (-7 * -1 + 9w * -1) = -18w -56 + -8w + (7 + -9w) = -18w Reorder the terms: -56 + 7 + -8w + -9w = -18w Combine like terms: -56 + 7 = -49 -49 + -8w + -9w = -18w Combine like terms: -8w + -9w = -17w -49 + -17w = -18w Solving -49 + -17w = -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. -49 + -17w + 18w = -18w + 18w Combine like terms: -17w + 18w = 1w -49 + 1w = -18w + 18w Combine like terms: -18w + 18w = 0 -49 + 1w = 0 Add '49' to each side of the equation. -49 + 49 + 1w = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 1w = 0 + 49 1w = 0 + 49 Combine like terms: 0 + 49 = 49 1w = 49 Divide each side by '1'. w = 49 Simplifying w = 49
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