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Simplifying 6a + -13 = -4a + 11 + -2a Reorder the terms: -13 + 6a = -4a + 11 + -2a Reorder the terms: -13 + 6a = 11 + -4a + -2a Combine like terms: -4a + -2a = -6a -13 + 6a = 11 + -6a Solving -13 + 6a = 11 + -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. -13 + 6a + 6a = 11 + -6a + 6a Combine like terms: 6a + 6a = 12a -13 + 12a = 11 + -6a + 6a Combine like terms: -6a + 6a = 0 -13 + 12a = 11 + 0 -13 + 12a = 11 Add '13' to each side of the equation. -13 + 13 + 12a = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 12a = 11 + 13 12a = 11 + 13 Combine like terms: 11 + 13 = 24 12a = 24 Divide each side by '12'. a = 2 Simplifying a = 2
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