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Simplifying 3a(a + -5) + -3a(a + 7) = 72 Reorder the terms: 3a(-5 + a) + -3a(a + 7) = 72 (-5 * 3a + a * 3a) + -3a(a + 7) = 72 (-15a + 3a2) + -3a(a + 7) = 72 Reorder the terms: -15a + 3a2 + -3a(7 + a) = 72 -15a + 3a2 + (7 * -3a + a * -3a) = 72 -15a + 3a2 + (-21a + -3a2) = 72 Reorder the terms: -15a + -21a + 3a2 + -3a2 = 72 Combine like terms: -15a + -21a = -36a -36a + 3a2 + -3a2 = 72 Combine like terms: 3a2 + -3a2 = 0 -36a + 0 = 72 -36a = 72 Solving -36a = 72 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-36'. a = -2 Simplifying a = -2
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