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Simplifying -6 + 3a + -1b + -4a + 4b + 5 = 0 Reorder the terms: -6 + 5 + 3a + -4a + -1b + 4b = 0 Combine like terms: -6 + 5 = -1 -1 + 3a + -4a + -1b + 4b = 0 Combine like terms: 3a + -4a = -1a -1 + -1a + -1b + 4b = 0 Combine like terms: -1b + 4b = 3b -1 + -1a + 3b = 0 Solving -1 + -1a + 3b = 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 + -1a + 1 + 3b = 0 + 1 Reorder the terms: -1 + 1 + -1a + 3b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1a + 3b = 0 + 1 -1a + 3b = 0 + 1 Combine like terms: 0 + 1 = 1 -1a + 3b = 1 Add '-3b' to each side of the equation. -1a + 3b + -3b = 1 + -3b Combine like terms: 3b + -3b = 0 -1a + 0 = 1 + -3b -1a = 1 + -3b Divide each side by '-1'. a = -1 + 3b Simplifying a = -1 + 3b
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