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Simplifying -1(-3x + w) + -4(2w + 4x) = 0 Reorder the terms: -1(w + -3x) + -4(2w + 4x) = 0 (w * -1 + -3x * -1) + -4(2w + 4x) = 0 (-1w + 3x) + -4(2w + 4x) = 0 -1w + 3x + (2w * -4 + 4x * -4) = 0 -1w + 3x + (-8w + -16x) = 0 Reorder the terms: -1w + -8w + 3x + -16x = 0 Combine like terms: -1w + -8w = -9w -9w + 3x + -16x = 0 Combine like terms: 3x + -16x = -13x -9w + -13x = 0 Solving -9w + -13x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13x' to each side of the equation. -9w + -13x + 13x = 0 + 13x Combine like terms: -13x + 13x = 0 -9w + 0 = 0 + 13x -9w = 0 + 13x Remove the zero: -9w = 13x Divide each side by '-9'. w = -1.444444444x Simplifying w = -1.444444444x
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