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Simplifying 7a + 10 + -5a = 4 + 6a + -14a Reorder the terms: 10 + 7a + -5a = 4 + 6a + -14a Combine like terms: 7a + -5a = 2a 10 + 2a = 4 + 6a + -14a Combine like terms: 6a + -14a = -8a 10 + 2a = 4 + -8a Solving 10 + 2a = 4 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 10 + 2a + 8a = 4 + -8a + 8a Combine like terms: 2a + 8a = 10a 10 + 10a = 4 + -8a + 8a Combine like terms: -8a + 8a = 0 10 + 10a = 4 + 0 10 + 10a = 4 Add '-10' to each side of the equation. 10 + -10 + 10a = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 10a = 4 + -10 10a = 4 + -10 Combine like terms: 4 + -10 = -6 10a = -6 Divide each side by '10'. a = -0.6 Simplifying a = -0.6
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