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Simplifying 3(-4w + -3x) + -6(7x + -1w) = 0 (-4w * 3 + -3x * 3) + -6(7x + -1w) = 0 (-12w + -9x) + -6(7x + -1w) = 0 Reorder the terms: -12w + -9x + -6(-1w + 7x) = 0 -12w + -9x + (-1w * -6 + 7x * -6) = 0 -12w + -9x + (6w + -42x) = 0 Reorder the terms: -12w + 6w + -9x + -42x = 0 Combine like terms: -12w + 6w = -6w -6w + -9x + -42x = 0 Combine like terms: -9x + -42x = -51x -6w + -51x = 0 Solving -6w + -51x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '51x' to each side of the equation. -6w + -51x + 51x = 0 + 51x Combine like terms: -51x + 51x = 0 -6w + 0 = 0 + 51x -6w = 0 + 51x Remove the zero: -6w = 51x Divide each side by '-6'. w = -8.5x Simplifying w = -8.5x
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