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Simplifying 3(2a + -5) = 15 + -4a Reorder the terms: 3(-5 + 2a) = 15 + -4a (-5 * 3 + 2a * 3) = 15 + -4a (-15 + 6a) = 15 + -4a Solving -15 + 6a = 15 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -15 + 6a + 4a = 15 + -4a + 4a Combine like terms: 6a + 4a = 10a -15 + 10a = 15 + -4a + 4a Combine like terms: -4a + 4a = 0 -15 + 10a = 15 + 0 -15 + 10a = 15 Add '15' to each side of the equation. -15 + 15 + 10a = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 10a = 15 + 15 10a = 15 + 15 Combine like terms: 15 + 15 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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