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Simplifying a + 7 = 5 + 3a Reorder the terms: 7 + a = 5 + 3a Solving 7 + a = 5 + 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. 7 + a + -3a = 5 + 3a + -3a Combine like terms: a + -3a = -2a 7 + -2a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + -2a = 5 + 0 7 + -2a = 5 Add '-7' to each side of the equation. 7 + -7 + -2a = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 5 + -7 -2a = 5 + -7 Combine like terms: 5 + -7 = -2 -2a = -2 Divide each side by '-2'. a = 1 Simplifying a = 1
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