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Simplifying -3a + 1 = 4a + -13 Reorder the terms: 1 + -3a = 4a + -13 Reorder the terms: 1 + -3a = -13 + 4a Solving 1 + -3a = -13 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 1 + -3a + -4a = -13 + 4a + -4a Combine like terms: -3a + -4a = -7a 1 + -7a = -13 + 4a + -4a Combine like terms: 4a + -4a = 0 1 + -7a = -13 + 0 1 + -7a = -13 Add '-1' to each side of the equation. 1 + -1 + -7a = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -7a = -13 + -1 -7a = -13 + -1 Combine like terms: -13 + -1 = -14 -7a = -14 Divide each side by '-7'. a = 2 Simplifying a = 2
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