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Simplifying 1 + 3a = -12 + 8a + -1 + -3a Reorder the terms: 1 + 3a = -12 + -1 + 8a + -3a Combine like terms: -12 + -1 = -13 1 + 3a = -13 + 8a + -3a Combine like terms: 8a + -3a = 5a 1 + 3a = -13 + 5a Solving 1 + 3a = -13 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 1 + 3a + -5a = -13 + 5a + -5a Combine like terms: 3a + -5a = -2a 1 + -2a = -13 + 5a + -5a Combine like terms: 5a + -5a = 0 1 + -2a = -13 + 0 1 + -2a = -13 Add '-1' to each side of the equation. 1 + -1 + -2a = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = -13 + -1 -2a = -13 + -1 Combine like terms: -13 + -1 = -14 -2a = -14 Divide each side by '-2'. a = 7 Simplifying a = 7
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