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Simplifying 2 + 6(a + 3b + -1) + -5b = 0 Reorder the terms: 2 + 6(-1 + a + 3b) + -5b = 0 2 + (-1 * 6 + a * 6 + 3b * 6) + -5b = 0 2 + (-6 + 6a + 18b) + -5b = 0 Combine like terms: 2 + -6 = -4 -4 + 6a + 18b + -5b = 0 Combine like terms: 18b + -5b = 13b -4 + 6a + 13b = 0 Solving -4 + 6a + 13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6a + 4 + 13b = 0 + 4 Reorder the terms: -4 + 4 + 6a + 13b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6a + 13b = 0 + 4 6a + 13b = 0 + 4 Combine like terms: 0 + 4 = 4 6a + 13b = 4 Add '-13b' to each side of the equation. 6a + 13b + -13b = 4 + -13b Combine like terms: 13b + -13b = 0 6a + 0 = 4 + -13b 6a = 4 + -13b Divide each side by '6'. a = 0.6666666667 + -2.166666667b Simplifying a = 0.6666666667 + -2.166666667b
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