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Simplifying 2(7a + 1b) = 10(10a + 3b) (7a * 2 + 1b * 2) = 10(10a + 3b) (14a + 2b) = 10(10a + 3b) 14a + 2b = (10a * 10 + 3b * 10) 14a + 2b = (100a + 30b) Solving 14a + 2b = 100a + 30b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-100a' to each side of the equation. 14a + -100a + 2b = 100a + -100a + 30b Combine like terms: 14a + -100a = -86a -86a + 2b = 100a + -100a + 30b Combine like terms: 100a + -100a = 0 -86a + 2b = 0 + 30b -86a + 2b = 30b Add '-2b' to each side of the equation. -86a + 2b + -2b = 30b + -2b Combine like terms: 2b + -2b = 0 -86a + 0 = 30b + -2b -86a = 30b + -2b Combine like terms: 30b + -2b = 28b -86a = 28b Divide each side by '-86'. a = -0.3255813953b Simplifying a = -0.3255813953b
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