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Simplifying -9a + 6 = 10a + 15 Reorder the terms: 6 + -9a = 10a + 15 Reorder the terms: 6 + -9a = 15 + 10a Solving 6 + -9a = 15 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 6 + -9a + -10a = 15 + 10a + -10a Combine like terms: -9a + -10a = -19a 6 + -19a = 15 + 10a + -10a Combine like terms: 10a + -10a = 0 6 + -19a = 15 + 0 6 + -19a = 15 Add '-6' to each side of the equation. 6 + -6 + -19a = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -19a = 15 + -6 -19a = 15 + -6 Combine like terms: 15 + -6 = 9 -19a = 9 Divide each side by '-19'. a = -0.4736842105 Simplifying a = -0.4736842105
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