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Simplifying 5(2a + 1) + -5 = 2(6a + 5) Reorder the terms: 5(1 + 2a) + -5 = 2(6a + 5) (1 * 5 + 2a * 5) + -5 = 2(6a + 5) (5 + 10a) + -5 = 2(6a + 5) Reorder the terms: 5 + -5 + 10a = 2(6a + 5) Combine like terms: 5 + -5 = 0 0 + 10a = 2(6a + 5) 10a = 2(6a + 5) Reorder the terms: 10a = 2(5 + 6a) 10a = (5 * 2 + 6a * 2) 10a = (10 + 12a) Solving 10a = 10 + 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. 10a + -12a = 10 + 12a + -12a Combine like terms: 10a + -12a = -2a -2a = 10 + 12a + -12a Combine like terms: 12a + -12a = 0 -2a = 10 + 0 -2a = 10 Divide each side by '-2'. a = -5 Simplifying a = -5
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