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Simplifying 10(2a + 9b) + -7(a + 6b) = 0 (2a * 10 + 9b * 10) + -7(a + 6b) = 0 (20a + 90b) + -7(a + 6b) = 0 20a + 90b + (a * -7 + 6b * -7) = 0 20a + 90b + (-7a + -42b) = 0 Reorder the terms: 20a + -7a + 90b + -42b = 0 Combine like terms: 20a + -7a = 13a 13a + 90b + -42b = 0 Combine like terms: 90b + -42b = 48b 13a + 48b = 0 Solving 13a + 48b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48b' to each side of the equation. 13a + 48b + -48b = 0 + -48b Combine like terms: 48b + -48b = 0 13a + 0 = 0 + -48b 13a = 0 + -48b Remove the zero: 13a = -48b Divide each side by '13'. a = -3.692307692b Simplifying a = -3.692307692b
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