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Simplifying 4(4a + 5) = 7(3a + -5) Reorder the terms: 4(5 + 4a) = 7(3a + -5) (5 * 4 + 4a * 4) = 7(3a + -5) (20 + 16a) = 7(3a + -5) Reorder the terms: 20 + 16a = 7(-5 + 3a) 20 + 16a = (-5 * 7 + 3a * 7) 20 + 16a = (-35 + 21a) Solving 20 + 16a = -35 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 20 + 16a + -21a = -35 + 21a + -21a Combine like terms: 16a + -21a = -5a 20 + -5a = -35 + 21a + -21a Combine like terms: 21a + -21a = 0 20 + -5a = -35 + 0 20 + -5a = -35 Add '-20' to each side of the equation. 20 + -20 + -5a = -35 + -20 Combine like terms: 20 + -20 = 0 0 + -5a = -35 + -20 -5a = -35 + -20 Combine like terms: -35 + -20 = -55 -5a = -55 Divide each side by '-5'. a = 11 Simplifying a = 11
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