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Simplifying 7 = 1 + -2a Solving 7 = 1 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 7 + 2a = 1 + -2a + 2a Combine like terms: -2a + 2a = 0 7 + 2a = 1 + 0 7 + 2a = 1 Add '-7' to each side of the equation. 7 + -7 + 2a = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 1 + -7 2a = 1 + -7 Combine like terms: 1 + -7 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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