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Simplifying 0.5 = a(3.5) * 2 + b(3.5) Reorder the terms for easier multiplication: 0.5 = 3.5 * 2a + b(3.5) Multiply 3.5 * 2 0.5 = 7a + b(3.5) Reorder the terms for easier multiplication: 0.5 = 7a + 3.5b Solving 0.5 = 7a + 3.5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 0.5 + -7a = 7a + -7a + 3.5b Combine like terms: 7a + -7a = 0 0.5 + -7a = 0 + 3.5b 0.5 + -7a = 3.5b Add '-0.5' to each side of the equation. 0.5 + -0.5 + -7a = -0.5 + 3.5b Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -7a = -0.5 + 3.5b -7a = -0.5 + 3.5b Divide each side by '-7'. a = 0.07142857143 + -0.5b Simplifying a = 0.07142857143 + -0.5b
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