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Simplifying 4a + 12 = -6a + -13 Reorder the terms: 12 + 4a = -6a + -13 Reorder the terms: 12 + 4a = -13 + -6a Solving 12 + 4a = -13 + -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. 12 + 4a + 6a = -13 + -6a + 6a Combine like terms: 4a + 6a = 10a 12 + 10a = -13 + -6a + 6a Combine like terms: -6a + 6a = 0 12 + 10a = -13 + 0 12 + 10a = -13 Add '-12' to each side of the equation. 12 + -12 + 10a = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 10a = -13 + -12 10a = -13 + -12 Combine like terms: -13 + -12 = -25 10a = -25 Divide each side by '10'. a = -2.5 Simplifying a = -2.5
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