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Simplifying 9a + -6 = -2 + 13a + 12 Reorder the terms: -6 + 9a = -2 + 13a + 12 Reorder the terms: -6 + 9a = -2 + 12 + 13a Combine like terms: -2 + 12 = 10 -6 + 9a = 10 + 13a Solving -6 + 9a = 10 + 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. -6 + 9a + -13a = 10 + 13a + -13a Combine like terms: 9a + -13a = -4a -6 + -4a = 10 + 13a + -13a Combine like terms: 13a + -13a = 0 -6 + -4a = 10 + 0 -6 + -4a = 10 Add '6' to each side of the equation. -6 + 6 + -4a = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4a = 10 + 6 -4a = 10 + 6 Combine like terms: 10 + 6 = 16 -4a = 16 Divide each side by '-4'. a = -4 Simplifying a = -4
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