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Simplifying 7a + -4 + -2(a + 5) + 25 = 2a + -5 Reorder the terms: 7a + -4 + -2(5 + a) + 25 = 2a + -5 7a + -4 + (5 * -2 + a * -2) + 25 = 2a + -5 7a + -4 + (-10 + -2a) + 25 = 2a + -5 Reorder the terms: -4 + -10 + 25 + 7a + -2a = 2a + -5 Combine like terms: -4 + -10 = -14 -14 + 25 + 7a + -2a = 2a + -5 Combine like terms: -14 + 25 = 11 11 + 7a + -2a = 2a + -5 Combine like terms: 7a + -2a = 5a 11 + 5a = 2a + -5 Reorder the terms: 11 + 5a = -5 + 2a Solving 11 + 5a = -5 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 11 + 5a + -2a = -5 + 2a + -2a Combine like terms: 5a + -2a = 3a 11 + 3a = -5 + 2a + -2a Combine like terms: 2a + -2a = 0 11 + 3a = -5 + 0 11 + 3a = -5 Add '-11' to each side of the equation. 11 + -11 + 3a = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 3a = -5 + -11 3a = -5 + -11 Combine like terms: -5 + -11 = -16 3a = -16 Divide each side by '3'. a = -5.333333333 Simplifying a = -5.333333333
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