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Simplifying 3a + 45 = 5a + 105 Reorder the terms: 45 + 3a = 5a + 105 Reorder the terms: 45 + 3a = 105 + 5a Solving 45 + 3a = 105 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 45 + 3a + -5a = 105 + 5a + -5a Combine like terms: 3a + -5a = -2a 45 + -2a = 105 + 5a + -5a Combine like terms: 5a + -5a = 0 45 + -2a = 105 + 0 45 + -2a = 105 Add '-45' to each side of the equation. 45 + -45 + -2a = 105 + -45 Combine like terms: 45 + -45 = 0 0 + -2a = 105 + -45 -2a = 105 + -45 Combine like terms: 105 + -45 = 60 -2a = 60 Divide each side by '-2'. a = -30 Simplifying a = -30
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