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Simplifying 2(w + -9) + -5 = -3(-7w + 9) + -9w Reorder the terms: 2(-9 + w) + -5 = -3(-7w + 9) + -9w (-9 * 2 + w * 2) + -5 = -3(-7w + 9) + -9w (-18 + 2w) + -5 = -3(-7w + 9) + -9w Reorder the terms: -18 + -5 + 2w = -3(-7w + 9) + -9w Combine like terms: -18 + -5 = -23 -23 + 2w = -3(-7w + 9) + -9w Reorder the terms: -23 + 2w = -3(9 + -7w) + -9w -23 + 2w = (9 * -3 + -7w * -3) + -9w -23 + 2w = (-27 + 21w) + -9w Combine like terms: 21w + -9w = 12w -23 + 2w = -27 + 12w Solving -23 + 2w = -27 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -23 + 2w + -12w = -27 + 12w + -12w Combine like terms: 2w + -12w = -10w -23 + -10w = -27 + 12w + -12w Combine like terms: 12w + -12w = 0 -23 + -10w = -27 + 0 -23 + -10w = -27 Add '23' to each side of the equation. -23 + 23 + -10w = -27 + 23 Combine like terms: -23 + 23 = 0 0 + -10w = -27 + 23 -10w = -27 + 23 Combine like terms: -27 + 23 = -4 -10w = -4 Divide each side by '-10'. w = 0.4 Simplifying w = 0.4
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