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Simplifying 8[2w + -2] = 7[3w + 2] Reorder the terms: 8[-2 + 2w] = 7[3w + 2] [-2 * 8 + 2w * 8] = 7[3w + 2] [-16 + 16w] = 7[3w + 2] Reorder the terms: -16 + 16w = 7[2 + 3w] -16 + 16w = [2 * 7 + 3w * 7] -16 + 16w = [14 + 21w] Solving -16 + 16w = 14 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -16 + 16w + -21w = 14 + 21w + -21w Combine like terms: 16w + -21w = -5w -16 + -5w = 14 + 21w + -21w Combine like terms: 21w + -21w = 0 -16 + -5w = 14 + 0 -16 + -5w = 14 Add '16' to each side of the equation. -16 + 16 + -5w = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -5w = 14 + 16 -5w = 14 + 16 Combine like terms: 14 + 16 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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