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Simplifying 8x + -8 + -6w = 4x + -7 Reorder the terms: -8 + -6w + 8x = 4x + -7 Reorder the terms: -8 + -6w + 8x = -7 + 4x Solving -8 + -6w + 8x = -7 + 4x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -6w + 8 + 8x = -7 + 8 + 4x Reorder the terms: -8 + 8 + -6w + 8x = -7 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + -6w + 8x = -7 + 8 + 4x -6w + 8x = -7 + 8 + 4x Combine like terms: -7 + 8 = 1 -6w + 8x = 1 + 4x Add '-8x' to each side of the equation. -6w + 8x + -8x = 1 + 4x + -8x Combine like terms: 8x + -8x = 0 -6w + 0 = 1 + 4x + -8x -6w = 1 + 4x + -8x Combine like terms: 4x + -8x = -4x -6w = 1 + -4x Divide each side by '-6'. w = -0.1666666667 + 0.6666666667x Simplifying w = -0.1666666667 + 0.6666666667x
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