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Simplifying 3(x + -1a) + b = 4x + a Reorder the terms: 3(-1a + x) + b = 4x + a (-1a * 3 + x * 3) + b = 4x + a (-3a + 3x) + b = 4x + a Reorder the terms: -3a + b + 3x = 4x + a Reorder the terms: -3a + b + 3x = a + 4x Solving -3a + b + 3x = a + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -3a + b + -1a + 3x = a + -1a + 4x Reorder the terms: -3a + -1a + b + 3x = a + -1a + 4x Combine like terms: -3a + -1a = -4a -4a + b + 3x = a + -1a + 4x Combine like terms: a + -1a = 0 -4a + b + 3x = 0 + 4x -4a + b + 3x = 4x Add '-1b' to each side of the equation. -4a + b + -1b + 3x = -1b + 4x Combine like terms: b + -1b = 0 -4a + 0 + 3x = -1b + 4x -4a + 3x = -1b + 4x Add '-3x' to each side of the equation. -4a + 3x + -3x = -1b + 4x + -3x Combine like terms: 3x + -3x = 0 -4a + 0 = -1b + 4x + -3x -4a = -1b + 4x + -3x Combine like terms: 4x + -3x = 1x -4a = -1b + 1x Divide each side by '-4'. a = 0.25b + -0.25x Simplifying a = 0.25b + -0.25x
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