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Simplifying 4(2a + 30) = 5(a + 144) Reorder the terms: 4(30 + 2a) = 5(a + 144) (30 * 4 + 2a * 4) = 5(a + 144) (120 + 8a) = 5(a + 144) Reorder the terms: 120 + 8a = 5(144 + a) 120 + 8a = (144 * 5 + a * 5) 120 + 8a = (720 + 5a) Solving 120 + 8a = 720 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 120 + 8a + -5a = 720 + 5a + -5a Combine like terms: 8a + -5a = 3a 120 + 3a = 720 + 5a + -5a Combine like terms: 5a + -5a = 0 120 + 3a = 720 + 0 120 + 3a = 720 Add '-120' to each side of the equation. 120 + -120 + 3a = 720 + -120 Combine like terms: 120 + -120 = 0 0 + 3a = 720 + -120 3a = 720 + -120 Combine like terms: 720 + -120 = 600 3a = 600 Divide each side by '3'. a = 200 Simplifying a = 200
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