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Simplifying 10 + 6a = 5 + -1a Solving 10 + 6a = 5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 10 + 6a + a = 5 + -1a + a Combine like terms: 6a + a = 7a 10 + 7a = 5 + -1a + a Combine like terms: -1a + a = 0 10 + 7a = 5 + 0 10 + 7a = 5 Add '-10' to each side of the equation. 10 + -10 + 7a = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 7a = 5 + -10 7a = 5 + -10 Combine like terms: 5 + -10 = -5 7a = -5 Divide each side by '7'. a = -0.7142857143 Simplifying a = -0.7142857143
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