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Simplifying 5(3a + -1) + -2(3a + 2) = 0 Reorder the terms: 5(-1 + 3a) + -2(3a + 2) = 0 (-1 * 5 + 3a * 5) + -2(3a + 2) = 0 (-5 + 15a) + -2(3a + 2) = 0 Reorder the terms: -5 + 15a + -2(2 + 3a) = 0 -5 + 15a + (2 * -2 + 3a * -2) = 0 -5 + 15a + (-4 + -6a) = 0 Reorder the terms: -5 + -4 + 15a + -6a = 0 Combine like terms: -5 + -4 = -9 -9 + 15a + -6a = 0 Combine like terms: 15a + -6a = 9a -9 + 9a = 0 Solving -9 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 9a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 9a = 0 + 9 9a = 0 + 9 Combine like terms: 0 + 9 = 9 9a = 9 Divide each side by '9'. a = 1 Simplifying a = 1
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