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Simplifying 7a + 26 = 7(a + 8) + -6a Reorder the terms: 26 + 7a = 7(a + 8) + -6a Reorder the terms: 26 + 7a = 7(8 + a) + -6a 26 + 7a = (8 * 7 + a * 7) + -6a 26 + 7a = (56 + 7a) + -6a Combine like terms: 7a + -6a = 1a 26 + 7a = 56 + 1a Solving 26 + 7a = 56 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 26 + 7a + -1a = 56 + 1a + -1a Combine like terms: 7a + -1a = 6a 26 + 6a = 56 + 1a + -1a Combine like terms: 1a + -1a = 0 26 + 6a = 56 + 0 26 + 6a = 56 Add '-26' to each side of the equation. 26 + -26 + 6a = 56 + -26 Combine like terms: 26 + -26 = 0 0 + 6a = 56 + -26 6a = 56 + -26 Combine like terms: 56 + -26 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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