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Simplifying 2a + 4b + -5a + 8b + -1 = 0 Reorder the terms: -1 + 2a + -5a + 4b + 8b = 0 Combine like terms: 2a + -5a = -3a -1 + -3a + 4b + 8b = 0 Combine like terms: 4b + 8b = 12b -1 + -3a + 12b = 0 Solving -1 + -3a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3a + 1 + 12b = 0 + 1 Reorder the terms: -1 + 1 + -3a + 12b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3a + 12b = 0 + 1 -3a + 12b = 0 + 1 Combine like terms: 0 + 1 = 1 -3a + 12b = 1 Add '-12b' to each side of the equation. -3a + 12b + -12b = 1 + -12b Combine like terms: 12b + -12b = 0 -3a + 0 = 1 + -12b -3a = 1 + -12b Divide each side by '-3'. a = -0.3333333333 + 4b Simplifying a = -0.3333333333 + 4b
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