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Simplifying 3(-5a + 6) + 2(6a + -4) = 0 Reorder the terms: 3(6 + -5a) + 2(6a + -4) = 0 (6 * 3 + -5a * 3) + 2(6a + -4) = 0 (18 + -15a) + 2(6a + -4) = 0 Reorder the terms: 18 + -15a + 2(-4 + 6a) = 0 18 + -15a + (-4 * 2 + 6a * 2) = 0 18 + -15a + (-8 + 12a) = 0 Reorder the terms: 18 + -8 + -15a + 12a = 0 Combine like terms: 18 + -8 = 10 10 + -15a + 12a = 0 Combine like terms: -15a + 12a = -3a 10 + -3a = 0 Solving 10 + -3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 0 + -10 -3a = 0 + -10 Combine like terms: 0 + -10 = -10 -3a = -10 Divide each side by '-3'. a = 3.333333333 Simplifying a = 3.333333333
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