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