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Simplifying b + 5a = 3(5ac + 8d) Reorder the terms: 5a + b = 3(5ac + 8d) 5a + b = (5ac * 3 + 8d * 3) 5a + b = (15ac + 24d) Solving 5a + b = 15ac + 24d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15ac' to each side of the equation. 5a + -15ac + b = 15ac + -15ac + 24d Combine like terms: 15ac + -15ac = 0 5a + -15ac + b = 0 + 24d 5a + -15ac + b = 24d Add '-1b' to each side of the equation. 5a + -15ac + b + -1b = -1b + 24d Combine like terms: b + -1b = 0 5a + -15ac + 0 = -1b + 24d 5a + -15ac = -1b + 24d Reorder the terms: 5a + -15ac + b + -24d = -1b + b + 24d + -24d Combine like terms: -1b + b = 0 5a + -15ac + b + -24d = 0 + 24d + -24d 5a + -15ac + b + -24d = 24d + -24d Combine like terms: 24d + -24d = 0 5a + -15ac + b + -24d = 0 The solution to this equation could not be determined.
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