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Simplifying 2a + 3b = 5(a + b) 2a + 3b = (a * 5 + b * 5) 2a + 3b = (5a + 5b) Solving 2a + 3b = 5a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 2a + -5a + 3b = 5a + -5a + 5b Combine like terms: 2a + -5a = -3a -3a + 3b = 5a + -5a + 5b Combine like terms: 5a + -5a = 0 -3a + 3b = 0 + 5b -3a + 3b = 5b Add '-3b' to each side of the equation. -3a + 3b + -3b = 5b + -3b Combine like terms: 3b + -3b = 0 -3a + 0 = 5b + -3b -3a = 5b + -3b Combine like terms: 5b + -3b = 2b -3a = 2b Divide each side by '-3'. a = -0.6666666667b Simplifying a = -0.6666666667b
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