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Simplifying 16a + -5b + -1(-6a + -15b) + -1(-4b) = 0 16a + -5b + (-6a * -1 + -15b * -1) + -1(-4b) = 0 16a + -5b + (6a + 15b) + -1(-4b) = 0 Remove parenthesis around (-4b) 16a + -5b + 6a + 15b + -1 * -4b = 0 Multiply -1 * -4 16a + -5b + 6a + 15b + 4b = 0 Reorder the terms: 16a + 6a + -5b + 15b + 4b = 0 Combine like terms: 16a + 6a = 22a 22a + -5b + 15b + 4b = 0 Combine like terms: -5b + 15b = 10b 22a + 10b + 4b = 0 Combine like terms: 10b + 4b = 14b 22a + 14b = 0 Solving 22a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 22a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 22a + 0 = 0 + -14b 22a = 0 + -14b Remove the zero: 22a = -14b Divide each side by '22'. a = -0.6363636364b Simplifying a = -0.6363636364b
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