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Simplifying 7(a + 4) + -13a = 46 Reorder the terms: 7(4 + a) + -13a = 46 (4 * 7 + a * 7) + -13a = 46 (28 + 7a) + -13a = 46 Combine like terms: 7a + -13a = -6a 28 + -6a = 46 Solving 28 + -6a = 46 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -6a = 46 + -28 Combine like terms: 28 + -28 = 0 0 + -6a = 46 + -28 -6a = 46 + -28 Combine like terms: 46 + -28 = 18 -6a = 18 Divide each side by '-6'. a = -3 Simplifying a = -3
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