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Simplifying 8(a + b) + 11 = 61 (a * 8 + b * 8) + 11 = 61 (8a + 8b) + 11 = 61 Reorder the terms: 11 + 8a + 8b = 61 Solving 11 + 8a + 8b = 61 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 8a + -11 + 8b = 61 + -11 Reorder the terms: 11 + -11 + 8a + 8b = 61 + -11 Combine like terms: 11 + -11 = 0 0 + 8a + 8b = 61 + -11 8a + 8b = 61 + -11 Combine like terms: 61 + -11 = 50 8a + 8b = 50 Add '-8b' to each side of the equation. 8a + 8b + -8b = 50 + -8b Combine like terms: 8b + -8b = 0 8a + 0 = 50 + -8b 8a = 50 + -8b Divide each side by '8'. a = 6.25 + -1b Simplifying a = 6.25 + -1b
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