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Simplifying 4(5a + 3) + -5(2a + 9) = 0 Reorder the terms: 4(3 + 5a) + -5(2a + 9) = 0 (3 * 4 + 5a * 4) + -5(2a + 9) = 0 (12 + 20a) + -5(2a + 9) = 0 Reorder the terms: 12 + 20a + -5(9 + 2a) = 0 12 + 20a + (9 * -5 + 2a * -5) = 0 12 + 20a + (-45 + -10a) = 0 Reorder the terms: 12 + -45 + 20a + -10a = 0 Combine like terms: 12 + -45 = -33 -33 + 20a + -10a = 0 Combine like terms: 20a + -10a = 10a -33 + 10a = 0 Solving -33 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 10a = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 10a = 0 + 33 10a = 0 + 33 Combine like terms: 0 + 33 = 33 10a = 33 Divide each side by '10'. a = 3.3 Simplifying a = 3.3
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