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Simplifying (a + 2b + -3) * 2 + 5a + 10b + -9 = 0 Reorder the terms: (-3 + a + 2b) * 2 + 5a + 10b + -9 = 0 Reorder the terms for easier multiplication: 2(-3 + a + 2b) + 5a + 10b + -9 = 0 (-3 * 2 + a * 2 + 2b * 2) + 5a + 10b + -9 = 0 (-6 + 2a + 4b) + 5a + 10b + -9 = 0 Reorder the terms: -6 + -9 + 2a + 5a + 4b + 10b = 0 Combine like terms: -6 + -9 = -15 -15 + 2a + 5a + 4b + 10b = 0 Combine like terms: 2a + 5a = 7a -15 + 7a + 4b + 10b = 0 Combine like terms: 4b + 10b = 14b -15 + 7a + 14b = 0 Solving -15 + 7a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 7a + 15 + 14b = 0 + 15 Reorder the terms: -15 + 15 + 7a + 14b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7a + 14b = 0 + 15 7a + 14b = 0 + 15 Combine like terms: 0 + 15 = 15 7a + 14b = 15 Add '-14b' to each side of the equation. 7a + 14b + -14b = 15 + -14b Combine like terms: 14b + -14b = 0 7a + 0 = 15 + -14b 7a = 15 + -14b Divide each side by '7'. a = 2.142857143 + -2b Simplifying a = 2.142857143 + -2b
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