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Simplifying -5(-4w + 5) + -8w = 4(w + -2) + -7 Reorder the terms: -5(5 + -4w) + -8w = 4(w + -2) + -7 (5 * -5 + -4w * -5) + -8w = 4(w + -2) + -7 (-25 + 20w) + -8w = 4(w + -2) + -7 Combine like terms: 20w + -8w = 12w -25 + 12w = 4(w + -2) + -7 Reorder the terms: -25 + 12w = 4(-2 + w) + -7 -25 + 12w = (-2 * 4 + w * 4) + -7 -25 + 12w = (-8 + 4w) + -7 Reorder the terms: -25 + 12w = -8 + -7 + 4w Combine like terms: -8 + -7 = -15 -25 + 12w = -15 + 4w Solving -25 + 12w = -15 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -25 + 12w + -4w = -15 + 4w + -4w Combine like terms: 12w + -4w = 8w -25 + 8w = -15 + 4w + -4w Combine like terms: 4w + -4w = 0 -25 + 8w = -15 + 0 -25 + 8w = -15 Add '25' to each side of the equation. -25 + 25 + 8w = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 8w = -15 + 25 8w = -15 + 25 Combine like terms: -15 + 25 = 10 8w = 10 Divide each side by '8'. w = 1.25 Simplifying w = 1.25
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