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Simplifying -4(-5w + 6) + -1w = 7(w + -4) + -2 Reorder the terms: -4(6 + -5w) + -1w = 7(w + -4) + -2 (6 * -4 + -5w * -4) + -1w = 7(w + -4) + -2 (-24 + 20w) + -1w = 7(w + -4) + -2 Combine like terms: 20w + -1w = 19w -24 + 19w = 7(w + -4) + -2 Reorder the terms: -24 + 19w = 7(-4 + w) + -2 -24 + 19w = (-4 * 7 + w * 7) + -2 -24 + 19w = (-28 + 7w) + -2 Reorder the terms: -24 + 19w = -28 + -2 + 7w Combine like terms: -28 + -2 = -30 -24 + 19w = -30 + 7w Solving -24 + 19w = -30 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -24 + 19w + -7w = -30 + 7w + -7w Combine like terms: 19w + -7w = 12w -24 + 12w = -30 + 7w + -7w Combine like terms: 7w + -7w = 0 -24 + 12w = -30 + 0 -24 + 12w = -30 Add '24' to each side of the equation. -24 + 24 + 12w = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 12w = -30 + 24 12w = -30 + 24 Combine like terms: -30 + 24 = -6 12w = -6 Divide each side by '12'. w = -0.5 Simplifying w = -0.5
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