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Simplifying 5(3a + -1) + -2(2a + 3) = 0 Reorder the terms: 5(-1 + 3a) + -2(2a + 3) = 0 (-1 * 5 + 3a * 5) + -2(2a + 3) = 0 (-5 + 15a) + -2(2a + 3) = 0 Reorder the terms: -5 + 15a + -2(3 + 2a) = 0 -5 + 15a + (3 * -2 + 2a * -2) = 0 -5 + 15a + (-6 + -4a) = 0 Reorder the terms: -5 + -6 + 15a + -4a = 0 Combine like terms: -5 + -6 = -11 -11 + 15a + -4a = 0 Combine like terms: 15a + -4a = 11a -11 + 11a = 0 Solving -11 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 11a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 11a = 0 + 11 11a = 0 + 11 Combine like terms: 0 + 11 = 11 11a = 11 Divide each side by '11'. a = 1 Simplifying a = 1
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