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Simplifying -13x + 2b + -6x + 3a + -7b = 0 Reorder the terms: 3a + 2b + -7b + -13x + -6x = 0 Combine like terms: 2b + -7b = -5b 3a + -5b + -13x + -6x = 0 Combine like terms: -13x + -6x = -19x 3a + -5b + -19x = 0 Solving 3a + -5b + -19x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 3a + -5b + 5b + -19x = 0 + 5b Combine like terms: -5b + 5b = 0 3a + 0 + -19x = 0 + 5b 3a + -19x = 0 + 5b Remove the zero: 3a + -19x = 5b Add '19x' to each side of the equation. 3a + -19x + 19x = 5b + 19x Combine like terms: -19x + 19x = 0 3a + 0 = 5b + 19x 3a = 5b + 19x Divide each side by '3'. a = 1.666666667b + 6.333333333x Simplifying a = 1.666666667b + 6.333333333x
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