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Simplifying A(3x + -2b) = c(dx + -2) Reorder the terms: A(-2b + 3x) = c(dx + -2) (-2b * A + 3x * A) = c(dx + -2) (-2bA + 3xA) = c(dx + -2) Reorder the terms: -2bA + 3xA = c(-2 + dx) -2bA + 3xA = (-2 * c + dx * c) -2bA + 3xA = (-2c + cdx) Solving -2bA + 3xA = -2c + cdx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3xA' to each side of the equation. -2bA + 3xA + -3xA = -2c + cdx + -3xA Combine like terms: 3xA + -3xA = 0 -2bA + 0 = -2c + cdx + -3xA -2bA = -2c + cdx + -3xA Divide each side by '-2A'. b = cA-1 + -0.5cdxA-1 + 1.5x Simplifying b = cA-1 + -0.5cdxA-1 + 1.5x
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