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Simplifying 5(2a + 7) + -3(4a + 8) = 0 Reorder the terms: 5(7 + 2a) + -3(4a + 8) = 0 (7 * 5 + 2a * 5) + -3(4a + 8) = 0 (35 + 10a) + -3(4a + 8) = 0 Reorder the terms: 35 + 10a + -3(8 + 4a) = 0 35 + 10a + (8 * -3 + 4a * -3) = 0 35 + 10a + (-24 + -12a) = 0 Reorder the terms: 35 + -24 + 10a + -12a = 0 Combine like terms: 35 + -24 = 11 11 + 10a + -12a = 0 Combine like terms: 10a + -12a = -2a 11 + -2a = 0 Solving 11 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2a = 0 + -11 -2a = 0 + -11 Combine like terms: 0 + -11 = -11 -2a = -11 Divide each side by '-2'. a = 5.5 Simplifying a = 5.5
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