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Simplifying -3(-5x + -1w) + -2(2w + x) = 0 Reorder the terms: -3(-1w + -5x) + -2(2w + x) = 0 (-1w * -3 + -5x * -3) + -2(2w + x) = 0 (3w + 15x) + -2(2w + x) = 0 3w + 15x + (2w * -2 + x * -2) = 0 3w + 15x + (-4w + -2x) = 0 Reorder the terms: 3w + -4w + 15x + -2x = 0 Combine like terms: 3w + -4w = -1w -1w + 15x + -2x = 0 Combine like terms: 15x + -2x = 13x -1w + 13x = 0 Solving -1w + 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. -1w + 13x + -13x = 0 + -13x Combine like terms: 13x + -13x = 0 -1w + 0 = 0 + -13x -1w = 0 + -13x Remove the zero: -1w = -13x Divide each side by '-1'. w = 13x Simplifying w = 13x
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