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Simplifying (6 + -4x + w)(-7) = 0 Reorder the terms: (6 + w + -4x)(-7) = 0 Reorder the terms for easier multiplication: -7(6 + w + -4x) = 0 (6 * -7 + w * -7 + -4x * -7) = 0 (-42 + -7w + 28x) = 0 Solving -42 + -7w + 28x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '42' to each side of the equation. -42 + -7w + 42 + 28x = 0 + 42 Reorder the terms: -42 + 42 + -7w + 28x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -7w + 28x = 0 + 42 -7w + 28x = 0 + 42 Combine like terms: 0 + 42 = 42 -7w + 28x = 42 Add '-28x' to each side of the equation. -7w + 28x + -28x = 42 + -28x Combine like terms: 28x + -28x = 0 -7w + 0 = 42 + -28x -7w = 42 + -28x Divide each side by '-7'. w = -6 + 4x Simplifying w = -6 + 4x
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