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Simplifying 6a + 10 = -12 + -5a Reorder the terms: 10 + 6a = -12 + -5a Solving 10 + 6a = -12 + -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 + 6a + 5a = -12 + -5a + 5a Combine like terms: 6a + 5a = 11a 10 + 11a = -12 + -5a + 5a Combine like terms: -5a + 5a = 0 10 + 11a = -12 + 0 10 + 11a = -12 Add '-10' to each side of the equation. 10 + -10 + 11a = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 11a = -12 + -10 11a = -12 + -10 Combine like terms: -12 + -10 = -22 11a = -22 Divide each side by '11'. a = -2 Simplifying a = -2
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