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Simplifying 5a + 7b = 13a + 3b Solving 5a + 7b = 13a + 3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 5a + -13a + 7b = 13a + -13a + 3b Combine like terms: 5a + -13a = -8a -8a + 7b = 13a + -13a + 3b Combine like terms: 13a + -13a = 0 -8a + 7b = 0 + 3b -8a + 7b = 3b Add '-7b' to each side of the equation. -8a + 7b + -7b = 3b + -7b Combine like terms: 7b + -7b = 0 -8a + 0 = 3b + -7b -8a = 3b + -7b Combine like terms: 3b + -7b = -4b -8a = -4b Divide each side by '-8'. a = 0.5b Simplifying a = 0.5b
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