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Simplifying 8(2w + -2) = 7(3w + 2) * d Reorder the terms: 8(-2 + 2w) = 7(3w + 2) * d (-2 * 8 + 2w * 8) = 7(3w + 2) * d (-16 + 16w) = 7(3w + 2) * d Reorder the terms: -16 + 16w = 7(2 + 3w) * d Reorder the terms for easier multiplication: -16 + 16w = 7d(2 + 3w) -16 + 16w = (2 * 7d + 3w * 7d) -16 + 16w = (14d + 21dw) Solving -16 + 16w = 14d + 21dw Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21dw' to each side of the equation. -16 + -21dw + 16w = 14d + 21dw + -21dw Combine like terms: 21dw + -21dw = 0 -16 + -21dw + 16w = 14d + 0 -16 + -21dw + 16w = 14d Add '16' to each side of the equation. -16 + -21dw + 16 + 16w = 16 + 14d Reorder the terms: -16 + 16 + -21dw + 16w = 16 + 14d Combine like terms: -16 + 16 = 0 0 + -21dw + 16w = 16 + 14d -21dw + 16w = 16 + 14d Reorder the terms: -16 + -14d + -21dw + 16w = 16 + 14d + -16 + -14d Reorder the terms: -16 + -14d + -21dw + 16w = 16 + -16 + 14d + -14d Combine like terms: 16 + -16 = 0 -16 + -14d + -21dw + 16w = 0 + 14d + -14d -16 + -14d + -21dw + 16w = 14d + -14d Combine like terms: 14d + -14d = 0 -16 + -14d + -21dw + 16w = 0 The solution to this equation could not be determined.
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