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Simplifying 5(1 + 7a) + -2a = 38 (1 * 5 + 7a * 5) + -2a = 38 (5 + 35a) + -2a = 38 Combine like terms: 35a + -2a = 33a 5 + 33a = 38 Solving 5 + 33a = 38 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 33a = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 33a = 38 + -5 33a = 38 + -5 Combine like terms: 38 + -5 = 33 33a = 33 Divide each side by '33'. a = 1 Simplifying a = 1
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