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Simplifying 6a + 10 = -4a + 30 Reorder the terms: 10 + 6a = -4a + 30 Reorder the terms: 10 + 6a = 30 + -4a Solving 10 + 6a = 30 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 10 + 6a + 4a = 30 + -4a + 4a Combine like terms: 6a + 4a = 10a 10 + 10a = 30 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 10a = 30 + 0 10 + 10a = 30 Add '-10' to each side of the equation. 10 + -10 + 10a = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 10a = 30 + -10 10a = 30 + -10 Combine like terms: 30 + -10 = 20 10a = 20 Divide each side by '10'. a = 2 Simplifying a = 2
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