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Simplifying -3(-9w + 7) + -7w = 2(w + -7) + -5 Reorder the terms: -3(7 + -9w) + -7w = 2(w + -7) + -5 (7 * -3 + -9w * -3) + -7w = 2(w + -7) + -5 (-21 + 27w) + -7w = 2(w + -7) + -5 Combine like terms: 27w + -7w = 20w -21 + 20w = 2(w + -7) + -5 Reorder the terms: -21 + 20w = 2(-7 + w) + -5 -21 + 20w = (-7 * 2 + w * 2) + -5 -21 + 20w = (-14 + 2w) + -5 Reorder the terms: -21 + 20w = -14 + -5 + 2w Combine like terms: -14 + -5 = -19 -21 + 20w = -19 + 2w Solving -21 + 20w = -19 + 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. -21 + 20w + -2w = -19 + 2w + -2w Combine like terms: 20w + -2w = 18w -21 + 18w = -19 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + 18w = -19 + 0 -21 + 18w = -19 Add '21' to each side of the equation. -21 + 21 + 18w = -19 + 21 Combine like terms: -21 + 21 = 0 0 + 18w = -19 + 21 18w = -19 + 21 Combine like terms: -19 + 21 = 2 18w = 2 Divide each side by '18'. w = 0.1111111111 Simplifying w = 0.1111111111
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