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Simplifying (14.2a + 9.8b) + -1(13.1b + -0.2a) = (3.7a + 4.8b) Remove parenthesis around (14.2a + 9.8b) 14.2a + 9.8b + -1(13.1b + -0.2a) = (3.7a + 4.8b) Reorder the terms: 14.2a + 9.8b + -1(-0.2a + 13.1b) = (3.7a + 4.8b) 14.2a + 9.8b + (-0.2a * -1 + 13.1b * -1) = (3.7a + 4.8b) 14.2a + 9.8b + (0.2a + -13.1b) = (3.7a + 4.8b) Reorder the terms: 14.2a + 0.2a + 9.8b + -13.1b = (3.7a + 4.8b) Combine like terms: 14.2a + 0.2a = 14.4a 14.4a + 9.8b + -13.1b = (3.7a + 4.8b) Combine like terms: 9.8b + -13.1b = -3.3b 14.4a + -3.3b = (3.7a + 4.8b) Remove parenthesis around (3.7a + 4.8b) 14.4a + -3.3b = 3.7a + 4.8b Solving 14.4a + -3.3b = 3.7a + 4.8b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.7a' to each side of the equation. 14.4a + -3.7a + -3.3b = 3.7a + -3.7a + 4.8b Combine like terms: 14.4a + -3.7a = 10.7a 10.7a + -3.3b = 3.7a + -3.7a + 4.8b Combine like terms: 3.7a + -3.7a = 0.0 10.7a + -3.3b = 0.0 + 4.8b 10.7a + -3.3b = 4.8b Add '3.3b' to each side of the equation. 10.7a + -3.3b + 3.3b = 4.8b + 3.3b Combine like terms: -3.3b + 3.3b = 0.0 10.7a + 0.0 = 4.8b + 3.3b 10.7a = 4.8b + 3.3b Combine like terms: 4.8b + 3.3b = 8.1b 10.7a = 8.1b Divide each side by '10.7'. a = 0.7570093458b Simplifying a = 0.7570093458b
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