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Simplifying 2(4a + -5) = 3a + -5 Reorder the terms: 2(-5 + 4a) = 3a + -5 (-5 * 2 + 4a * 2) = 3a + -5 (-10 + 8a) = 3a + -5 Reorder the terms: -10 + 8a = -5 + 3a Solving -10 + 8a = -5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -10 + 8a + -3a = -5 + 3a + -3a Combine like terms: 8a + -3a = 5a -10 + 5a = -5 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + 5a = -5 + 0 -10 + 5a = -5 Add '10' to each side of the equation. -10 + 10 + 5a = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 5a = -5 + 10 5a = -5 + 10 Combine like terms: -5 + 10 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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