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Simplifying 5a + 45a + 23b + 5 = 25a + 3b + 56 Reorder the terms: 5 + 5a + 45a + 23b = 25a + 3b + 56 Combine like terms: 5a + 45a = 50a 5 + 50a + 23b = 25a + 3b + 56 Reorder the terms: 5 + 50a + 23b = 56 + 25a + 3b Solving 5 + 50a + 23b = 56 + 25a + 3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. 5 + 50a + -25a + 23b = 56 + 25a + -25a + 3b Combine like terms: 50a + -25a = 25a 5 + 25a + 23b = 56 + 25a + -25a + 3b Combine like terms: 25a + -25a = 0 5 + 25a + 23b = 56 + 0 + 3b 5 + 25a + 23b = 56 + 3b Add '-5' to each side of the equation. 5 + 25a + -5 + 23b = 56 + -5 + 3b Reorder the terms: 5 + -5 + 25a + 23b = 56 + -5 + 3b Combine like terms: 5 + -5 = 0 0 + 25a + 23b = 56 + -5 + 3b 25a + 23b = 56 + -5 + 3b Combine like terms: 56 + -5 = 51 25a + 23b = 51 + 3b Add '-23b' to each side of the equation. 25a + 23b + -23b = 51 + 3b + -23b Combine like terms: 23b + -23b = 0 25a + 0 = 51 + 3b + -23b 25a = 51 + 3b + -23b Combine like terms: 3b + -23b = -20b 25a = 51 + -20b Divide each side by '25'. a = 2.04 + -0.8b Simplifying a = 2.04 + -0.8b
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