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Simplifying 2a + 6b + -5a + -1b + 1 = 0 Reorder the terms: 1 + 2a + -5a + 6b + -1b = 0 Combine like terms: 2a + -5a = -3a 1 + -3a + 6b + -1b = 0 Combine like terms: 6b + -1b = 5b 1 + -3a + 5b = 0 Solving 1 + -3a + 5b = 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 + 5b = 0 + -1 Reorder the terms: 1 + -1 + -3a + 5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3a + 5b = 0 + -1 -3a + 5b = 0 + -1 Combine like terms: 0 + -1 = -1 -3a + 5b = -1 Add '-5b' to each side of the equation. -3a + 5b + -5b = -1 + -5b Combine like terms: 5b + -5b = 0 -3a + 0 = -1 + -5b -3a = -1 + -5b Divide each side by '-3'. a = 0.3333333333 + 1.666666667b Simplifying a = 0.3333333333 + 1.666666667b
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