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Simplifying -3(-8w + 7) + -4w = 2(w + -3) + -3 Reorder the terms: -3(7 + -8w) + -4w = 2(w + -3) + -3 (7 * -3 + -8w * -3) + -4w = 2(w + -3) + -3 (-21 + 24w) + -4w = 2(w + -3) + -3 Combine like terms: 24w + -4w = 20w -21 + 20w = 2(w + -3) + -3 Reorder the terms: -21 + 20w = 2(-3 + w) + -3 -21 + 20w = (-3 * 2 + w * 2) + -3 -21 + 20w = (-6 + 2w) + -3 Reorder the terms: -21 + 20w = -6 + -3 + 2w Combine like terms: -6 + -3 = -9 -21 + 20w = -9 + 2w Solving -21 + 20w = -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. -21 + 20w + -2w = -9 + 2w + -2w Combine like terms: 20w + -2w = 18w -21 + 18w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + 18w = -9 + 0 -21 + 18w = -9 Add '21' to each side of the equation. -21 + 21 + 18w = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 18w = -9 + 21 18w = -9 + 21 Combine like terms: -9 + 21 = 12 18w = 12 Divide each side by '18'. w = 0.6666666667 Simplifying w = 0.6666666667
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