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Simplifying a(4) + b(-2) + 9 = a(25) + b(5) Reorder the terms for easier multiplication: 4a + b(-2) + 9 = a(25) + b(5) Reorder the terms for easier multiplication: 4a + -2b + 9 = a(25) + b(5) Reorder the terms: 9 + 4a + -2b = a(25) + b(5) Reorder the terms for easier multiplication: 9 + 4a + -2b = 25a + b(5) Reorder the terms for easier multiplication: 9 + 4a + -2b = 25a + 5b Solving 9 + 4a + -2b = 25a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. 9 + 4a + -25a + -2b = 25a + -25a + 5b Combine like terms: 4a + -25a = -21a 9 + -21a + -2b = 25a + -25a + 5b Combine like terms: 25a + -25a = 0 9 + -21a + -2b = 0 + 5b 9 + -21a + -2b = 5b Add '-9' to each side of the equation. 9 + -21a + -9 + -2b = -9 + 5b Reorder the terms: 9 + -9 + -21a + -2b = -9 + 5b Combine like terms: 9 + -9 = 0 0 + -21a + -2b = -9 + 5b -21a + -2b = -9 + 5b Add '2b' to each side of the equation. -21a + -2b + 2b = -9 + 5b + 2b Combine like terms: -2b + 2b = 0 -21a + 0 = -9 + 5b + 2b -21a = -9 + 5b + 2b Combine like terms: 5b + 2b = 7b -21a = -9 + 7b Divide each side by '-21'. a = 0.4285714286 + -0.3333333333b Simplifying a = 0.4285714286 + -0.3333333333b
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