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Simplifying -3(-4x + -1w) + 5(4w + 3x) = 0 Reorder the terms: -3(-1w + -4x) + 5(4w + 3x) = 0 (-1w * -3 + -4x * -3) + 5(4w + 3x) = 0 (3w + 12x) + 5(4w + 3x) = 0 3w + 12x + (4w * 5 + 3x * 5) = 0 3w + 12x + (20w + 15x) = 0 Reorder the terms: 3w + 20w + 12x + 15x = 0 Combine like terms: 3w + 20w = 23w 23w + 12x + 15x = 0 Combine like terms: 12x + 15x = 27x 23w + 27x = 0 Solving 23w + 27x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27x' to each side of the equation. 23w + 27x + -27x = 0 + -27x Combine like terms: 27x + -27x = 0 23w + 0 = 0 + -27x 23w = 0 + -27x Remove the zero: 23w = -27x Divide each side by '23'. w = -1.173913043x Simplifying w = -1.173913043x
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