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Simplifying 5a + 3b + 10 = 147 Reorder the terms: 10 + 5a + 3b = 147 Solving 10 + 5a + 3b = 147 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5a + -10 + 3b = 147 + -10 Reorder the terms: 10 + -10 + 5a + 3b = 147 + -10 Combine like terms: 10 + -10 = 0 0 + 5a + 3b = 147 + -10 5a + 3b = 147 + -10 Combine like terms: 147 + -10 = 137 5a + 3b = 137 Add '-3b' to each side of the equation. 5a + 3b + -3b = 137 + -3b Combine like terms: 3b + -3b = 0 5a + 0 = 137 + -3b 5a = 137 + -3b Divide each side by '5'. a = 27.4 + -0.6b Simplifying a = 27.4 + -0.6b
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