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Simplifying 2(w + -5) + -8 = -3(-7w + 9) + -1w Reorder the terms: 2(-5 + w) + -8 = -3(-7w + 9) + -1w (-5 * 2 + w * 2) + -8 = -3(-7w + 9) + -1w (-10 + 2w) + -8 = -3(-7w + 9) + -1w Reorder the terms: -10 + -8 + 2w = -3(-7w + 9) + -1w Combine like terms: -10 + -8 = -18 -18 + 2w = -3(-7w + 9) + -1w Reorder the terms: -18 + 2w = -3(9 + -7w) + -1w -18 + 2w = (9 * -3 + -7w * -3) + -1w -18 + 2w = (-27 + 21w) + -1w Combine like terms: 21w + -1w = 20w -18 + 2w = -27 + 20w Solving -18 + 2w = -27 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -18 + 2w + -20w = -27 + 20w + -20w Combine like terms: 2w + -20w = -18w -18 + -18w = -27 + 20w + -20w Combine like terms: 20w + -20w = 0 -18 + -18w = -27 + 0 -18 + -18w = -27 Add '18' to each side of the equation. -18 + 18 + -18w = -27 + 18 Combine like terms: -18 + 18 = 0 0 + -18w = -27 + 18 -18w = -27 + 18 Combine like terms: -27 + 18 = -9 -18w = -9 Divide each side by '-18'. w = 0.5 Simplifying w = 0.5
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