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Simplifying 4a + -1b + 7 = b Reorder the terms: 7 + 4a + -1b = b Solving 7 + 4a + -1b = b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 4a + -7 + -1b = -7 + b Reorder the terms: 7 + -7 + 4a + -1b = -7 + b Combine like terms: 7 + -7 = 0 0 + 4a + -1b = -7 + b 4a + -1b = -7 + b Add 'b' to each side of the equation. 4a + -1b + b = -7 + b + b Combine like terms: -1b + b = 0 4a + 0 = -7 + b + b 4a = -7 + b + b Combine like terms: b + b = 2b 4a = -7 + 2b Divide each side by '4'. a = -1.75 + 0.5b Simplifying a = -1.75 + 0.5b
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