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Simplifying 5(a + 2) + -3(3a + -5) = 1 Reorder the terms: 5(2 + a) + -3(3a + -5) = 1 (2 * 5 + a * 5) + -3(3a + -5) = 1 (10 + 5a) + -3(3a + -5) = 1 Reorder the terms: 10 + 5a + -3(-5 + 3a) = 1 10 + 5a + (-5 * -3 + 3a * -3) = 1 10 + 5a + (15 + -9a) = 1 Reorder the terms: 10 + 15 + 5a + -9a = 1 Combine like terms: 10 + 15 = 25 25 + 5a + -9a = 1 Combine like terms: 5a + -9a = -4a 25 + -4a = 1 Solving 25 + -4a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4a = 1 + -25 Combine like terms: 25 + -25 = 0 0 + -4a = 1 + -25 -4a = 1 + -25 Combine like terms: 1 + -25 = -24 -4a = -24 Divide each side by '-4'. a = 6 Simplifying a = 6
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