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Simplifying 45 + 6a = 72 + -3a Solving 45 + 6a = 72 + -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. 45 + 6a + 3a = 72 + -3a + 3a Combine like terms: 6a + 3a = 9a 45 + 9a = 72 + -3a + 3a Combine like terms: -3a + 3a = 0 45 + 9a = 72 + 0 45 + 9a = 72 Add '-45' to each side of the equation. 45 + -45 + 9a = 72 + -45 Combine like terms: 45 + -45 = 0 0 + 9a = 72 + -45 9a = 72 + -45 Combine like terms: 72 + -45 = 27 9a = 27 Divide each side by '9'. a = 3 Simplifying a = 3
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