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Simplifying 5(a + 5) = 3(4a + 7) Reorder the terms: 5(5 + a) = 3(4a + 7) (5 * 5 + a * 5) = 3(4a + 7) (25 + 5a) = 3(4a + 7) Reorder the terms: 25 + 5a = 3(7 + 4a) 25 + 5a = (7 * 3 + 4a * 3) 25 + 5a = (21 + 12a) Solving 25 + 5a = 21 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 25 + 5a + -12a = 21 + 12a + -12a Combine like terms: 5a + -12a = -7a 25 + -7a = 21 + 12a + -12a Combine like terms: 12a + -12a = 0 25 + -7a = 21 + 0 25 + -7a = 21 Add '-25' to each side of the equation. 25 + -25 + -7a = 21 + -25 Combine like terms: 25 + -25 = 0 0 + -7a = 21 + -25 -7a = 21 + -25 Combine like terms: 21 + -25 = -4 -7a = -4 Divide each side by '-7'. a = 0.5714285714 Simplifying a = 0.5714285714
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