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Simplifying -6a + 12b + -17a + -30b + 4a + 2b = 0 Reorder the terms: -6a + -17a + 4a + 12b + -30b + 2b = 0 Combine like terms: -6a + -17a = -23a -23a + 4a + 12b + -30b + 2b = 0 Combine like terms: -23a + 4a = -19a -19a + 12b + -30b + 2b = 0 Combine like terms: 12b + -30b = -18b -19a + -18b + 2b = 0 Combine like terms: -18b + 2b = -16b -19a + -16b = 0 Solving -19a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. -19a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 -19a + 0 = 0 + 16b -19a = 0 + 16b Remove the zero: -19a = 16b Divide each side by '-19'. a = -0.8421052632b Simplifying a = -0.8421052632b
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