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Simplifying 1 + a = 7 + -4a Solving 1 + a = 7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 1 + a + 4a = 7 + -4a + 4a Combine like terms: a + 4a = 5a 1 + 5a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 1 + 5a = 7 + 0 1 + 5a = 7 Add '-1' to each side of the equation. 1 + -1 + 5a = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = 7 + -1 5a = 7 + -1 Combine like terms: 7 + -1 = 6 5a = 6 Divide each side by '5'. a = 1.2 Simplifying a = 1.2
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