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Simplifying 8(2w + -2) = 7(3x + 2) Reorder the terms: 8(-2 + 2w) = 7(3x + 2) (-2 * 8 + 2w * 8) = 7(3x + 2) (-16 + 16w) = 7(3x + 2) Reorder the terms: -16 + 16w = 7(2 + 3x) -16 + 16w = (2 * 7 + 3x * 7) -16 + 16w = (14 + 21x) Solving -16 + 16w = 14 + 21x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16w = 14 + 16 + 21x Combine like terms: -16 + 16 = 0 0 + 16w = 14 + 16 + 21x 16w = 14 + 16 + 21x Combine like terms: 14 + 16 = 30 16w = 30 + 21x Divide each side by '16'. w = 1.875 + 1.3125x Simplifying w = 1.875 + 1.3125x
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