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Simplifying 7x + -3(-2x + 6w) + 9 = 0 Reorder the terms: 7x + -3(6w + -2x) + 9 = 0 7x + (6w * -3 + -2x * -3) + 9 = 0 7x + (-18w + 6x) + 9 = 0 Reorder the terms: 9 + -18w + 7x + 6x = 0 Combine like terms: 7x + 6x = 13x 9 + -18w + 13x = 0 Solving 9 + -18w + 13x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -18w + -9 + 13x = 0 + -9 Reorder the terms: 9 + -9 + -18w + 13x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -18w + 13x = 0 + -9 -18w + 13x = 0 + -9 Combine like terms: 0 + -9 = -9 -18w + 13x = -9 Add '-13x' to each side of the equation. -18w + 13x + -13x = -9 + -13x Combine like terms: 13x + -13x = 0 -18w + 0 = -9 + -13x -18w = -9 + -13x Divide each side by '-18'. w = 0.5 + 0.7222222222x Simplifying w = 0.5 + 0.7222222222x
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