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Simplifying 6a + 9a + -1b + 3 = 45 Reorder the terms: 3 + 6a + 9a + -1b = 45 Combine like terms: 6a + 9a = 15a 3 + 15a + -1b = 45 Solving 3 + 15a + -1b = 45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 15a + -3 + -1b = 45 + -3 Reorder the terms: 3 + -3 + 15a + -1b = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 15a + -1b = 45 + -3 15a + -1b = 45 + -3 Combine like terms: 45 + -3 = 42 15a + -1b = 42 Add 'b' to each side of the equation. 15a + -1b + b = 42 + b Combine like terms: -1b + b = 0 15a + 0 = 42 + b 15a = 42 + b Divide each side by '15'. a = 2.8 + 0.06666666667b Simplifying a = 2.8 + 0.06666666667b
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