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Simplifying 4(3a + 5) = 5(3a + -5) Reorder the terms: 4(5 + 3a) = 5(3a + -5) (5 * 4 + 3a * 4) = 5(3a + -5) (20 + 12a) = 5(3a + -5) Reorder the terms: 20 + 12a = 5(-5 + 3a) 20 + 12a = (-5 * 5 + 3a * 5) 20 + 12a = (-25 + 15a) Solving 20 + 12a = -25 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 20 + 12a + -15a = -25 + 15a + -15a Combine like terms: 12a + -15a = -3a 20 + -3a = -25 + 15a + -15a Combine like terms: 15a + -15a = 0 20 + -3a = -25 + 0 20 + -3a = -25 Add '-20' to each side of the equation. 20 + -20 + -3a = -25 + -20 Combine like terms: 20 + -20 = 0 0 + -3a = -25 + -20 -3a = -25 + -20 Combine like terms: -25 + -20 = -45 -3a = -45 Divide each side by '-3'. a = 15 Simplifying a = 15
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