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Simplifying 7(5a + -1b) = 5(2a + 3b) (5a * 7 + -1b * 7) = 5(2a + 3b) (35a + -7b) = 5(2a + 3b) 35a + -7b = (2a * 5 + 3b * 5) 35a + -7b = (10a + 15b) Solving 35a + -7b = 10a + 15b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 35a + -10a + -7b = 10a + -10a + 15b Combine like terms: 35a + -10a = 25a 25a + -7b = 10a + -10a + 15b Combine like terms: 10a + -10a = 0 25a + -7b = 0 + 15b 25a + -7b = 15b Add '7b' to each side of the equation. 25a + -7b + 7b = 15b + 7b Combine like terms: -7b + 7b = 0 25a + 0 = 15b + 7b 25a = 15b + 7b Combine like terms: 15b + 7b = 22b 25a = 22b Divide each side by '25'. a = 0.88b Simplifying a = 0.88b
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