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Simplifying 10 = a + -5 + -6a Reorder the terms: 10 = -5 + a + -6a Combine like terms: a + -6a = -5a 10 = -5 + -5a Solving 10 = -5 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 10 + 5a = -5 + -5a + 5a Combine like terms: -5a + 5a = 0 10 + 5a = -5 + 0 10 + 5a = -5 Add '-10' to each side of the equation. 10 + -10 + 5a = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = -5 + -10 5a = -5 + -10 Combine like terms: -5 + -10 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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