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Simplifying 5a + -12b + -3b + 10a + 18a + -13a + a = 0 Reorder the terms: 5a + 10a + 18a + -13a + a + -12b + -3b = 0 Combine like terms: 5a + 10a = 15a 15a + 18a + -13a + a + -12b + -3b = 0 Combine like terms: 15a + 18a = 33a 33a + -13a + a + -12b + -3b = 0 Combine like terms: 33a + -13a = 20a 20a + a + -12b + -3b = 0 Combine like terms: 20a + a = 21a 21a + -12b + -3b = 0 Combine like terms: -12b + -3b = -15b 21a + -15b = 0 Solving 21a + -15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15b' to each side of the equation. 21a + -15b + 15b = 0 + 15b Combine like terms: -15b + 15b = 0 21a + 0 = 0 + 15b 21a = 0 + 15b Remove the zero: 21a = 15b Divide each side by '21'. a = 0.7142857143b Simplifying a = 0.7142857143b
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