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Simplifying 9a + -7 = 12a + -13 Reorder the terms: -7 + 9a = 12a + -13 Reorder the terms: -7 + 9a = -13 + 12a Solving -7 + 9a = -13 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -7 + 9a + -12a = -13 + 12a + -12a Combine like terms: 9a + -12a = -3a -7 + -3a = -13 + 12a + -12a Combine like terms: 12a + -12a = 0 -7 + -3a = -13 + 0 -7 + -3a = -13 Add '7' to each side of the equation. -7 + 7 + -3a = -13 + 7 Combine like terms: -7 + 7 = 0 0 + -3a = -13 + 7 -3a = -13 + 7 Combine like terms: -13 + 7 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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