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Simplifying -7(-4w + 3) + -8w = 2(w + -2) + -1 Reorder the terms: -7(3 + -4w) + -8w = 2(w + -2) + -1 (3 * -7 + -4w * -7) + -8w = 2(w + -2) + -1 (-21 + 28w) + -8w = 2(w + -2) + -1 Combine like terms: 28w + -8w = 20w -21 + 20w = 2(w + -2) + -1 Reorder the terms: -21 + 20w = 2(-2 + w) + -1 -21 + 20w = (-2 * 2 + w * 2) + -1 -21 + 20w = (-4 + 2w) + -1 Reorder the terms: -21 + 20w = -4 + -1 + 2w Combine like terms: -4 + -1 = -5 -21 + 20w = -5 + 2w Solving -21 + 20w = -5 + 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 = -5 + 2w + -2w Combine like terms: 20w + -2w = 18w -21 + 18w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + 18w = -5 + 0 -21 + 18w = -5 Add '21' to each side of the equation. -21 + 21 + 18w = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 18w = -5 + 21 18w = -5 + 21 Combine like terms: -5 + 21 = 16 18w = 16 Divide each side by '18'. w = 0.8888888889 Simplifying w = 0.8888888889
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