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Simplifying 3b + -2a = 5a + 6b Reorder the terms: -2a + 3b = 5a + 6b Solving -2a + 3b = 5a + 6b 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 + 6b Combine like terms: -2a + -5a = -7a -7a + 3b = 5a + -5a + 6b Combine like terms: 5a + -5a = 0 -7a + 3b = 0 + 6b -7a + 3b = 6b Add '-3b' to each side of the equation. -7a + 3b + -3b = 6b + -3b Combine like terms: 3b + -3b = 0 -7a + 0 = 6b + -3b -7a = 6b + -3b Combine like terms: 6b + -3b = 3b -7a = 3b Divide each side by '-7'. a = -0.4285714286b Simplifying a = -0.4285714286b
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