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Simplifying 40 + 8a = 7(a + b) 40 + 8a = (a * 7 + b * 7) 40 + 8a = (7a + 7b) Solving 40 + 8a = 7a + 7b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 40 + 8a + -7a = 7a + -7a + 7b Combine like terms: 8a + -7a = 1a 40 + 1a = 7a + -7a + 7b Combine like terms: 7a + -7a = 0 40 + 1a = 0 + 7b 40 + 1a = 7b Add '-40' to each side of the equation. 40 + -40 + 1a = -40 + 7b Combine like terms: 40 + -40 = 0 0 + 1a = -40 + 7b 1a = -40 + 7b Divide each side by '1'. a = -40 + 7b Simplifying a = -40 + 7b
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