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Simplifying 7a + 4 + -13a = 46 Reorder the terms: 4 + 7a + -13a = 46 Combine like terms: 7a + -13a = -6a 4 + -6a = 46 Solving 4 + -6a = 46 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -6a = 46 + -4 Combine like terms: 4 + -4 = 0 0 + -6a = 46 + -4 -6a = 46 + -4 Combine like terms: 46 + -4 = 42 -6a = 42 Divide each side by '-6'. a = -7 Simplifying a = -7
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