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Simplifying -7(-3w + 3) + -7w = 2(w + -4) + -9 Reorder the terms: -7(3 + -3w) + -7w = 2(w + -4) + -9 (3 * -7 + -3w * -7) + -7w = 2(w + -4) + -9 (-21 + 21w) + -7w = 2(w + -4) + -9 Combine like terms: 21w + -7w = 14w -21 + 14w = 2(w + -4) + -9 Reorder the terms: -21 + 14w = 2(-4 + w) + -9 -21 + 14w = (-4 * 2 + w * 2) + -9 -21 + 14w = (-8 + 2w) + -9 Reorder the terms: -21 + 14w = -8 + -9 + 2w Combine like terms: -8 + -9 = -17 -21 + 14w = -17 + 2w Solving -21 + 14w = -17 + 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 + 14w + -2w = -17 + 2w + -2w Combine like terms: 14w + -2w = 12w -21 + 12w = -17 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + 12w = -17 + 0 -21 + 12w = -17 Add '21' to each side of the equation. -21 + 21 + 12w = -17 + 21 Combine like terms: -21 + 21 = 0 0 + 12w = -17 + 21 12w = -17 + 21 Combine like terms: -17 + 21 = 4 12w = 4 Divide each side by '12'. w = 0.3333333333 Simplifying w = 0.3333333333
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