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Simplifying 3(-2 + -3x) + -2(x + -6w) = 0 (-2 * 3 + -3x * 3) + -2(x + -6w) = 0 (-6 + -9x) + -2(x + -6w) = 0 Reorder the terms: -6 + -9x + -2(-6w + x) = 0 -6 + -9x + (-6w * -2 + x * -2) = 0 -6 + -9x + (12w + -2x) = 0 Reorder the terms: -6 + 12w + -9x + -2x = 0 Combine like terms: -9x + -2x = -11x -6 + 12w + -11x = 0 Solving -6 + 12w + -11x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 12w + 6 + -11x = 0 + 6 Reorder the terms: -6 + 6 + 12w + -11x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12w + -11x = 0 + 6 12w + -11x = 0 + 6 Combine like terms: 0 + 6 = 6 12w + -11x = 6 Add '11x' to each side of the equation. 12w + -11x + 11x = 6 + 11x Combine like terms: -11x + 11x = 0 12w + 0 = 6 + 11x 12w = 6 + 11x Divide each side by '12'. w = 0.5 + 0.9166666667x Simplifying w = 0.5 + 0.9166666667x
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