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Simplifying 2x + -6 + w = 6w + 9 Reorder the terms: -6 + w + 2x = 6w + 9 Reorder the terms: -6 + w + 2x = 9 + 6w Solving -6 + w + 2x = 9 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -6 + w + -6w + 2x = 9 + 6w + -6w Combine like terms: w + -6w = -5w -6 + -5w + 2x = 9 + 6w + -6w Combine like terms: 6w + -6w = 0 -6 + -5w + 2x = 9 + 0 -6 + -5w + 2x = 9 Add '6' to each side of the equation. -6 + -5w + 6 + 2x = 9 + 6 Reorder the terms: -6 + 6 + -5w + 2x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -5w + 2x = 9 + 6 -5w + 2x = 9 + 6 Combine like terms: 9 + 6 = 15 -5w + 2x = 15 Add '-2x' to each side of the equation. -5w + 2x + -2x = 15 + -2x Combine like terms: 2x + -2x = 0 -5w + 0 = 15 + -2x -5w = 15 + -2x Divide each side by '-5'. w = -3 + 0.4x Simplifying w = -3 + 0.4x
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