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Simplifying -7n(-1 + 3a) = 5(3 + -5a) (-1 * -7n + 3a * -7n) = 5(3 + -5a) Reorder the terms: (-21an + 7n) = 5(3 + -5a) (-21an + 7n) = 5(3 + -5a) -21an + 7n = (3 * 5 + -5a * 5) -21an + 7n = (15 + -25a) Solving -21an + 7n = 15 + -25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25a' to each side of the equation. -21an + 25a + 7n = 15 + -25a + 25a Reorder the terms: 25a + -21an + 7n = 15 + -25a + 25a Combine like terms: -25a + 25a = 0 25a + -21an + 7n = 15 + 0 25a + -21an + 7n = 15 Add '-7n' to each side of the equation. 25a + -21an + 7n + -7n = 15 + -7n Combine like terms: 7n + -7n = 0 25a + -21an + 0 = 15 + -7n 25a + -21an = 15 + -7n Reorder the terms: -15 + 25a + -21an + 7n = 15 + -7n + -15 + 7n Reorder the terms: -15 + 25a + -21an + 7n = 15 + -15 + -7n + 7n Combine like terms: 15 + -15 = 0 -15 + 25a + -21an + 7n = 0 + -7n + 7n -15 + 25a + -21an + 7n = -7n + 7n Combine like terms: -7n + 7n = 0 -15 + 25a + -21an + 7n = 0 The solution to this equation could not be determined.
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