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Simplifying 2(w + -8) + -5 = -3(-7w + 9) + -7w Reorder the terms: 2(-8 + w) + -5 = -3(-7w + 9) + -7w (-8 * 2 + w * 2) + -5 = -3(-7w + 9) + -7w (-16 + 2w) + -5 = -3(-7w + 9) + -7w Reorder the terms: -16 + -5 + 2w = -3(-7w + 9) + -7w Combine like terms: -16 + -5 = -21 -21 + 2w = -3(-7w + 9) + -7w Reorder the terms: -21 + 2w = -3(9 + -7w) + -7w -21 + 2w = (9 * -3 + -7w * -3) + -7w -21 + 2w = (-27 + 21w) + -7w Combine like terms: 21w + -7w = 14w -21 + 2w = -27 + 14w Solving -21 + 2w = -27 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -21 + 2w + -14w = -27 + 14w + -14w Combine like terms: 2w + -14w = -12w -21 + -12w = -27 + 14w + -14w Combine like terms: 14w + -14w = 0 -21 + -12w = -27 + 0 -21 + -12w = -27 Add '21' to each side of the equation. -21 + 21 + -12w = -27 + 21 Combine like terms: -21 + 21 = 0 0 + -12w = -27 + 21 -12w = -27 + 21 Combine like terms: -27 + 21 = -6 -12w = -6 Divide each side by '-12'. w = 0.5 Simplifying w = 0.5
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