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Simplifying (-2 + 6x + 4w)(-5) = 0 Reorder the terms: (-2 + 4w + 6x)(-5) = 0 Reorder the terms for easier multiplication: -5(-2 + 4w + 6x) = 0 (-2 * -5 + 4w * -5 + 6x * -5) = 0 (10 + -20w + -30x) = 0 Solving 10 + -20w + -30x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -20w + -10 + -30x = 0 + -10 Reorder the terms: 10 + -10 + -20w + -30x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -20w + -30x = 0 + -10 -20w + -30x = 0 + -10 Combine like terms: 0 + -10 = -10 -20w + -30x = -10 Add '30x' to each side of the equation. -20w + -30x + 30x = -10 + 30x Combine like terms: -30x + 30x = 0 -20w + 0 = -10 + 30x -20w = -10 + 30x Divide each side by '-20'. w = 0.5 + -1.5x Simplifying w = 0.5 + -1.5x
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