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Simplifying -2(5a + 3) + 2(6a + -3) = 0 Reorder the terms: -2(3 + 5a) + 2(6a + -3) = 0 (3 * -2 + 5a * -2) + 2(6a + -3) = 0 (-6 + -10a) + 2(6a + -3) = 0 Reorder the terms: -6 + -10a + 2(-3 + 6a) = 0 -6 + -10a + (-3 * 2 + 6a * 2) = 0 -6 + -10a + (-6 + 12a) = 0 Reorder the terms: -6 + -6 + -10a + 12a = 0 Combine like terms: -6 + -6 = -12 -12 + -10a + 12a = 0 Combine like terms: -10a + 12a = 2a -12 + 2a = 0 Solving -12 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = 0 + 12 2a = 0 + 12 Combine like terms: 0 + 12 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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