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Simplifying a(8d + -5) + 13 = 12d + -2 Reorder the terms: a(-5 + 8d) + 13 = 12d + -2 (-5 * a + 8d * a) + 13 = 12d + -2 (-5a + 8ad) + 13 = 12d + -2 Reorder the terms: 13 + -5a + 8ad = 12d + -2 Reorder the terms: 13 + -5a + 8ad = -2 + 12d Solving 13 + -5a + 8ad = -2 + 12d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -5a + -13 + 8ad = -2 + -13 + 12d Reorder the terms: 13 + -13 + -5a + 8ad = -2 + -13 + 12d Combine like terms: 13 + -13 = 0 0 + -5a + 8ad = -2 + -13 + 12d -5a + 8ad = -2 + -13 + 12d Combine like terms: -2 + -13 = -15 -5a + 8ad = -15 + 12d Reorder the terms: 15 + -5a + 8ad + -12d = -15 + 12d + 15 + -12d Reorder the terms: 15 + -5a + 8ad + -12d = -15 + 15 + 12d + -12d Combine like terms: -15 + 15 = 0 15 + -5a + 8ad + -12d = 0 + 12d + -12d 15 + -5a + 8ad + -12d = 12d + -12d Combine like terms: 12d + -12d = 0 15 + -5a + 8ad + -12d = 0 The solution to this equation could not be determined.
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