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Simplifying 5(a + b) + -1 = 39 (a * 5 + b * 5) + -1 = 39 (5a + 5b) + -1 = 39 Reorder the terms: -1 + 5a + 5b = 39 Solving -1 + 5a + 5b = 39 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5a + 1 + 5b = 39 + 1 Reorder the terms: -1 + 1 + 5a + 5b = 39 + 1 Combine like terms: -1 + 1 = 0 0 + 5a + 5b = 39 + 1 5a + 5b = 39 + 1 Combine like terms: 39 + 1 = 40 5a + 5b = 40 Add '-5b' to each side of the equation. 5a + 5b + -5b = 40 + -5b Combine like terms: 5b + -5b = 0 5a + 0 = 40 + -5b 5a = 40 + -5b Divide each side by '5'. a = 8 + -1b Simplifying a = 8 + -1b
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