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Simplifying 4a + 5b + 8 + -3b = 0 Reorder the terms: 8 + 4a + 5b + -3b = 0 Combine like terms: 5b + -3b = 2b 8 + 4a + 2b = 0 Solving 8 + 4a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4a + -8 + 2b = 0 + -8 Reorder the terms: 8 + -8 + 4a + 2b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4a + 2b = 0 + -8 4a + 2b = 0 + -8 Combine like terms: 0 + -8 = -8 4a + 2b = -8 Add '-2b' to each side of the equation. 4a + 2b + -2b = -8 + -2b Combine like terms: 2b + -2b = 0 4a + 0 = -8 + -2b 4a = -8 + -2b Divide each side by '4'. a = -2 + -0.5b Simplifying a = -2 + -0.5b
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