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Simplifying 7 = a + -3a + 9 Reorder the terms: 7 = 9 + a + -3a Combine like terms: a + -3a = -2a 7 = 9 + -2a Solving 7 = 9 + -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 = 9 + -2a + 2a Combine like terms: -2a + 2a = 0 7 + 2a = 9 + 0 7 + 2a = 9 Add '-7' to each side of the equation. 7 + -7 + 2a = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 9 + -7 2a = 9 + -7 Combine like terms: 9 + -7 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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