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Simplifying 6a + -13 = 4a + 7 Reorder the terms: -13 + 6a = 4a + 7 Reorder the terms: -13 + 6a = 7 + 4a Solving -13 + 6a = 7 + 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. -13 + 6a + -4a = 7 + 4a + -4a Combine like terms: 6a + -4a = 2a -13 + 2a = 7 + 4a + -4a Combine like terms: 4a + -4a = 0 -13 + 2a = 7 + 0 -13 + 2a = 7 Add '13' to each side of the equation. -13 + 13 + 2a = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 2a = 7 + 13 2a = 7 + 13 Combine like terms: 7 + 13 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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