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Simplifying 2a + -5b + 3(a + 8) = 0 Reorder the terms: 2a + -5b + 3(8 + a) = 0 2a + -5b + (8 * 3 + a * 3) = 0 2a + -5b + (24 + 3a) = 0 Reorder the terms: 24 + 2a + 3a + -5b = 0 Combine like terms: 2a + 3a = 5a 24 + 5a + -5b = 0 Solving 24 + 5a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 5a + -24 + -5b = 0 + -24 Reorder the terms: 24 + -24 + 5a + -5b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5a + -5b = 0 + -24 5a + -5b = 0 + -24 Combine like terms: 0 + -24 = -24 5a + -5b = -24 Add '5b' to each side of the equation. 5a + -5b + 5b = -24 + 5b Combine like terms: -5b + 5b = 0 5a + 0 = -24 + 5b 5a = -24 + 5b Divide each side by '5'. a = -4.8 + b Simplifying a = -4.8 + b
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