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Simplifying 5(a + 5) = 7(a + 5) Reorder the terms: 5(5 + a) = 7(a + 5) (5 * 5 + a * 5) = 7(a + 5) (25 + 5a) = 7(a + 5) Reorder the terms: 25 + 5a = 7(5 + a) 25 + 5a = (5 * 7 + a * 7) 25 + 5a = (35 + 7a) Solving 25 + 5a = 35 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 25 + 5a + -7a = 35 + 7a + -7a Combine like terms: 5a + -7a = -2a 25 + -2a = 35 + 7a + -7a Combine like terms: 7a + -7a = 0 25 + -2a = 35 + 0 25 + -2a = 35 Add '-25' to each side of the equation. 25 + -25 + -2a = 35 + -25 Combine like terms: 25 + -25 = 0 0 + -2a = 35 + -25 -2a = 35 + -25 Combine like terms: 35 + -25 = 10 -2a = 10 Divide each side by '-2'. a = -5 Simplifying a = -5
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