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Simplifying 2(8a + 6) + -3(4a + 16) = 144 Reorder the terms: 2(6 + 8a) + -3(4a + 16) = 144 (6 * 2 + 8a * 2) + -3(4a + 16) = 144 (12 + 16a) + -3(4a + 16) = 144 Reorder the terms: 12 + 16a + -3(16 + 4a) = 144 12 + 16a + (16 * -3 + 4a * -3) = 144 12 + 16a + (-48 + -12a) = 144 Reorder the terms: 12 + -48 + 16a + -12a = 144 Combine like terms: 12 + -48 = -36 -36 + 16a + -12a = 144 Combine like terms: 16a + -12a = 4a -36 + 4a = 144 Solving -36 + 4a = 144 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 4a = 144 + 36 Combine like terms: -36 + 36 = 0 0 + 4a = 144 + 36 4a = 144 + 36 Combine like terms: 144 + 36 = 180 4a = 180 Divide each side by '4'. a = 45 Simplifying a = 45
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