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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 = 2a -13 + 6a = 11 + 2a Solving -13 + 6a = 11 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -13 + 6a + -2a = 11 + 2a + -2a Combine like terms: 6a + -2a = 4a -13 + 4a = 11 + 2a + -2a Combine like terms: 2a + -2a = 0 -13 + 4a = 11 + 0 -13 + 4a = 11 Add '13' to each side of the equation. -13 + 13 + 4a = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 4a = 11 + 13 4a = 11 + 13 Combine like terms: 11 + 13 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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