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Simplifying a + 30 = 3a + 10 Reorder the terms: 30 + a = 3a + 10 Reorder the terms: 30 + a = 10 + 3a Solving 30 + a = 10 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 30 + a + -3a = 10 + 3a + -3a Combine like terms: a + -3a = -2a 30 + -2a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 30 + -2a = 10 + 0 30 + -2a = 10 Add '-30' to each side of the equation. 30 + -30 + -2a = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -2a = 10 + -30 -2a = 10 + -30 Combine like terms: 10 + -30 = -20 -2a = -20 Divide each side by '-2'. a = 10 Simplifying a = 10
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