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Simplifying 5(a + 4) = 3(6a + a) Reorder the terms: 5(4 + a) = 3(6a + a) (4 * 5 + a * 5) = 3(6a + a) (20 + 5a) = 3(6a + a) Combine like terms: 6a + a = 7a 20 + 5a = 3(7a) Remove parenthesis around (7a) 20 + 5a = 3 * 7a Multiply 3 * 7 20 + 5a = 21a Solving 20 + 5a = 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 + 5a + -21a = 21a + -21a Combine like terms: 5a + -21a = -16a 20 + -16a = 21a + -21a Combine like terms: 21a + -21a = 0 20 + -16a = 0 Add '-20' to each side of the equation. 20 + -20 + -16a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -16a = 0 + -20 -16a = 0 + -20 Combine like terms: 0 + -20 = -20 -16a = -20 Divide each side by '-16'. a = 1.25 Simplifying a = 1.25
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