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Simplifying 4a + 42 = 6a + 12 Reorder the terms: 42 + 4a = 6a + 12 Reorder the terms: 42 + 4a = 12 + 6a Solving 42 + 4a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 42 + 4a + -6a = 12 + 6a + -6a Combine like terms: 4a + -6a = -2a 42 + -2a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 42 + -2a = 12 + 0 42 + -2a = 12 Add '-42' to each side of the equation. 42 + -42 + -2a = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -2a = 12 + -42 -2a = 12 + -42 Combine like terms: 12 + -42 = -30 -2a = -30 Divide each side by '-2'. a = 15 Simplifying a = 15
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