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Simplifying 8(-2a + 3) + 2(5a + -6) = 0 Reorder the terms: 8(3 + -2a) + 2(5a + -6) = 0 (3 * 8 + -2a * 8) + 2(5a + -6) = 0 (24 + -16a) + 2(5a + -6) = 0 Reorder the terms: 24 + -16a + 2(-6 + 5a) = 0 24 + -16a + (-6 * 2 + 5a * 2) = 0 24 + -16a + (-12 + 10a) = 0 Reorder the terms: 24 + -12 + -16a + 10a = 0 Combine like terms: 24 + -12 = 12 12 + -16a + 10a = 0 Combine like terms: -16a + 10a = -6a 12 + -6a = 0 Solving 12 + -6a = 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 + -6a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = 0 + -12 -6a = 0 + -12 Combine like terms: 0 + -12 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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