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Simplifying 8x + -8 + -6w = 4w + -7 Reorder the terms: -8 + -6w + 8x = 4w + -7 Reorder the terms: -8 + -6w + 8x = -7 + 4w Solving -8 + -6w + 8x = -7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -8 + -6w + -4w + 8x = -7 + 4w + -4w Combine like terms: -6w + -4w = -10w -8 + -10w + 8x = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + -10w + 8x = -7 + 0 -8 + -10w + 8x = -7 Add '8' to each side of the equation. -8 + -10w + 8 + 8x = -7 + 8 Reorder the terms: -8 + 8 + -10w + 8x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -10w + 8x = -7 + 8 -10w + 8x = -7 + 8 Combine like terms: -7 + 8 = 1 -10w + 8x = 1 Add '-8x' to each side of the equation. -10w + 8x + -8x = 1 + -8x Combine like terms: 8x + -8x = 0 -10w + 0 = 1 + -8x -10w = 1 + -8x Divide each side by '-10'. w = -0.1 + 0.8x Simplifying w = -0.1 + 0.8x
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