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Simplifying 3(4a + -3) = 7a + 16 Reorder the terms: 3(-3 + 4a) = 7a + 16 (-3 * 3 + 4a * 3) = 7a + 16 (-9 + 12a) = 7a + 16 Reorder the terms: -9 + 12a = 16 + 7a Solving -9 + 12a = 16 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -9 + 12a + -7a = 16 + 7a + -7a Combine like terms: 12a + -7a = 5a -9 + 5a = 16 + 7a + -7a Combine like terms: 7a + -7a = 0 -9 + 5a = 16 + 0 -9 + 5a = 16 Add '9' to each side of the equation. -9 + 9 + 5a = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 5a = 16 + 9 5a = 16 + 9 Combine like terms: 16 + 9 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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