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Simplifying 3(a + -1b) + 4b = 5(1 + b) (a * 3 + -1b * 3) + 4b = 5(1 + b) (3a + -3b) + 4b = 5(1 + b) Combine like terms: -3b + 4b = 1b 3a + 1b = 5(1 + b) 3a + 1b = (1 * 5 + b * 5) 3a + 1b = (5 + 5b) Solving 3a + 1b = 5 + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 3a + 1b + -1b = 5 + 5b + -1b Combine like terms: 1b + -1b = 0 3a + 0 = 5 + 5b + -1b 3a = 5 + 5b + -1b Combine like terms: 5b + -1b = 4b 3a = 5 + 4b Divide each side by '3'. a = 1.666666667 + 1.333333333b Simplifying a = 1.666666667 + 1.333333333b
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