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Simplifying -6 + -5(-6x + 4w) + 5w = 0 Reorder the terms: -6 + -5(4w + -6x) + 5w = 0 -6 + (4w * -5 + -6x * -5) + 5w = 0 -6 + (-20w + 30x) + 5w = 0 Reorder the terms: -6 + -20w + 5w + 30x = 0 Combine like terms: -20w + 5w = -15w -6 + -15w + 30x = 0 Solving -6 + -15w + 30x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -15w + 6 + 30x = 0 + 6 Reorder the terms: -6 + 6 + -15w + 30x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -15w + 30x = 0 + 6 -15w + 30x = 0 + 6 Combine like terms: 0 + 6 = 6 -15w + 30x = 6 Add '-30x' to each side of the equation. -15w + 30x + -30x = 6 + -30x Combine like terms: 30x + -30x = 0 -15w + 0 = 6 + -30x -15w = 6 + -30x Divide each side by '-15'. w = -0.4 + 2x Simplifying w = -0.4 + 2x
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