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Simplifying 5a + -2(b + -3) = 23 Reorder the terms: 5a + -2(-3 + b) = 23 5a + (-3 * -2 + b * -2) = 23 5a + (6 + -2b) = 23 Reorder the terms: 6 + 5a + -2b = 23 Solving 6 + 5a + -2b = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 5a + -6 + -2b = 23 + -6 Reorder the terms: 6 + -6 + 5a + -2b = 23 + -6 Combine like terms: 6 + -6 = 0 0 + 5a + -2b = 23 + -6 5a + -2b = 23 + -6 Combine like terms: 23 + -6 = 17 5a + -2b = 17 Add '2b' to each side of the equation. 5a + -2b + 2b = 17 + 2b Combine like terms: -2b + 2b = 0 5a + 0 = 17 + 2b 5a = 17 + 2b Divide each side by '5'. a = 3.4 + 0.4b Simplifying a = 3.4 + 0.4b
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