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Simplifying 20 + -6a + 7a + -13 = 19a + 16 + -6a + -9 Reorder the terms: 20 + -13 + -6a + 7a = 19a + 16 + -6a + -9 Combine like terms: 20 + -13 = 7 7 + -6a + 7a = 19a + 16 + -6a + -9 Combine like terms: -6a + 7a = 1a 7 + 1a = 19a + 16 + -6a + -9 Reorder the terms: 7 + 1a = 16 + -9 + 19a + -6a Combine like terms: 16 + -9 = 7 7 + 1a = 7 + 19a + -6a Combine like terms: 19a + -6a = 13a 7 + 1a = 7 + 13a Add '-7' to each side of the equation. 7 + -7 + 1a = 7 + -7 + 13a Combine like terms: 7 + -7 = 0 0 + 1a = 7 + -7 + 13a 1a = 7 + -7 + 13a Combine like terms: 7 + -7 = 0 1a = 0 + 13a 1a = 13a Solving 1a = 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 1a + -13a = 13a + -13a Combine like terms: 1a + -13a = -12a -12a = 13a + -13a Combine like terms: 13a + -13a = 0 -12a = 0 Divide each side by '-12'. a = 0 Simplifying a = 0
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