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Simplifying 12 + -4x + 7w + -9x + -1w = 0 Reorder the terms: 12 + 7w + -1w + -4x + -9x = 0 Combine like terms: 7w + -1w = 6w 12 + 6w + -4x + -9x = 0 Combine like terms: -4x + -9x = -13x 12 + 6w + -13x = 0 Solving 12 + 6w + -13x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 6w + -12 + -13x = 0 + -12 Reorder the terms: 12 + -12 + 6w + -13x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6w + -13x = 0 + -12 6w + -13x = 0 + -12 Combine like terms: 0 + -12 = -12 6w + -13x = -12 Add '13x' to each side of the equation. 6w + -13x + 13x = -12 + 13x Combine like terms: -13x + 13x = 0 6w + 0 = -12 + 13x 6w = -12 + 13x Divide each side by '6'. w = -2 + 2.166666667x Simplifying w = -2 + 2.166666667x
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