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Simplifying a + 3 = 7 + -3a Reorder the terms: 3 + a = 7 + -3a Solving 3 + a = 7 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 3 + a + 3a = 7 + -3a + 3a Combine like terms: a + 3a = 4a 3 + 4a = 7 + -3a + 3a Combine like terms: -3a + 3a = 0 3 + 4a = 7 + 0 3 + 4a = 7 Add '-3' to each side of the equation. 3 + -3 + 4a = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 7 + -3 4a = 7 + -3 Combine like terms: 7 + -3 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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