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Simplifying (-5 + 6x + 2w)(-5) = 0 Reorder the terms: (-5 + 2w + 6x)(-5) = 0 Reorder the terms for easier multiplication: -5(-5 + 2w + 6x) = 0 (-5 * -5 + 2w * -5 + 6x * -5) = 0 (25 + -10w + -30x) = 0 Solving 25 + -10w + -30x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -10w + -25 + -30x = 0 + -25 Reorder the terms: 25 + -25 + -10w + -30x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -10w + -30x = 0 + -25 -10w + -30x = 0 + -25 Combine like terms: 0 + -25 = -25 -10w + -30x = -25 Add '30x' to each side of the equation. -10w + -30x + 30x = -25 + 30x Combine like terms: -30x + 30x = 0 -10w + 0 = -25 + 30x -10w = -25 + 30x Divide each side by '-10'. w = 2.5 + -3x Simplifying w = 2.5 + -3x
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