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Simplifying 4(-3a + 13) + 3(a + 4) = 0 Reorder the terms: 4(13 + -3a) + 3(a + 4) = 0 (13 * 4 + -3a * 4) + 3(a + 4) = 0 (52 + -12a) + 3(a + 4) = 0 Reorder the terms: 52 + -12a + 3(4 + a) = 0 52 + -12a + (4 * 3 + a * 3) = 0 52 + -12a + (12 + 3a) = 0 Reorder the terms: 52 + 12 + -12a + 3a = 0 Combine like terms: 52 + 12 = 64 64 + -12a + 3a = 0 Combine like terms: -12a + 3a = -9a 64 + -9a = 0 Solving 64 + -9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -9a = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -9a = 0 + -64 -9a = 0 + -64 Combine like terms: 0 + -64 = -64 -9a = -64 Divide each side by '-9'. a = 7.111111111 Simplifying a = 7.111111111
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