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Simplifying 3a + -1 + 7a + 11 = 7a + -5 Reorder the terms: -1 + 11 + 3a + 7a = 7a + -5 Combine like terms: -1 + 11 = 10 10 + 3a + 7a = 7a + -5 Combine like terms: 3a + 7a = 10a 10 + 10a = 7a + -5 Reorder the terms: 10 + 10a = -5 + 7a Solving 10 + 10a = -5 + 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. 10 + 10a + -7a = -5 + 7a + -7a Combine like terms: 10a + -7a = 3a 10 + 3a = -5 + 7a + -7a Combine like terms: 7a + -7a = 0 10 + 3a = -5 + 0 10 + 3a = -5 Add '-10' to each side of the equation. 10 + -10 + 3a = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = -5 + -10 3a = -5 + -10 Combine like terms: -5 + -10 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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