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Simplifying (-2 + 3w + 4x)(-5) = 0 Reorder the terms for easier multiplication: -5(-2 + 3w + 4x) = 0 (-2 * -5 + 3w * -5 + 4x * -5) = 0 (10 + -15w + -20x) = 0 Solving 10 + -15w + -20x = 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 + -15w + -10 + -20x = 0 + -10 Reorder the terms: 10 + -10 + -15w + -20x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -15w + -20x = 0 + -10 -15w + -20x = 0 + -10 Combine like terms: 0 + -10 = -10 -15w + -20x = -10 Add '20x' to each side of the equation. -15w + -20x + 20x = -10 + 20x Combine like terms: -20x + 20x = 0 -15w + 0 = -10 + 20x -15w = -10 + 20x Divide each side by '-15'. w = 0.6666666667 + -1.333333333x Simplifying w = 0.6666666667 + -1.333333333x
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