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Simplifying 4(2a + -9) = 5(3a + -7) + -1 Reorder the terms: 4(-9 + 2a) = 5(3a + -7) + -1 (-9 * 4 + 2a * 4) = 5(3a + -7) + -1 (-36 + 8a) = 5(3a + -7) + -1 Reorder the terms: -36 + 8a = 5(-7 + 3a) + -1 -36 + 8a = (-7 * 5 + 3a * 5) + -1 -36 + 8a = (-35 + 15a) + -1 Reorder the terms: -36 + 8a = -35 + -1 + 15a Combine like terms: -35 + -1 = -36 -36 + 8a = -36 + 15a Add '36' to each side of the equation. -36 + 36 + 8a = -36 + 36 + 15a Combine like terms: -36 + 36 = 0 0 + 8a = -36 + 36 + 15a 8a = -36 + 36 + 15a Combine like terms: -36 + 36 = 0 8a = 0 + 15a 8a = 15a Solving 8a = 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 8a + -15a = 15a + -15a Combine like terms: 8a + -15a = -7a -7a = 15a + -15a Combine like terms: 15a + -15a = 0 -7a = 0 Divide each side by '-7'. a = 0 Simplifying a = 0
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