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Simplifying 5a + -1b = 7a Solving 5a + -1b = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 5a + -7a + -1b = 7a + -7a Combine like terms: 5a + -7a = -2a -2a + -1b = 7a + -7a Combine like terms: 7a + -7a = 0 -2a + -1b = 0 Add 'b' to each side of the equation. -2a + -1b + b = 0 + b Combine like terms: -1b + b = 0 -2a + 0 = 0 + b -2a = 0 + b Remove the zero: -2a = b Divide each side by '-2'. a = -0.5b Simplifying a = -0.5b
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