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Simplifying 8w + -5(2w + 7) = 2w + -9 Reorder the terms: 8w + -5(7 + 2w) = 2w + -9 8w + (7 * -5 + 2w * -5) = 2w + -9 8w + (-35 + -10w) = 2w + -9 Reorder the terms: -35 + 8w + -10w = 2w + -9 Combine like terms: 8w + -10w = -2w -35 + -2w = 2w + -9 Reorder the terms: -35 + -2w = -9 + 2w Solving -35 + -2w = -9 + 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. -35 + -2w + -2w = -9 + 2w + -2w Combine like terms: -2w + -2w = -4w -35 + -4w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 -35 + -4w = -9 + 0 -35 + -4w = -9 Add '35' to each side of the equation. -35 + 35 + -4w = -9 + 35 Combine like terms: -35 + 35 = 0 0 + -4w = -9 + 35 -4w = -9 + 35 Combine like terms: -9 + 35 = 26 -4w = 26 Divide each side by '-4'. w = -6.5 Simplifying w = -6.5
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