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Simplifying (a + 3) * xb = 2(axb) Reorder the terms: (3 + a) * xb = 2(axb) Reorder the terms for easier multiplication: bx(3 + a) = 2(axb) (3 * bx + a * bx) = 2(axb) Reorder the terms: (abx + 3bx) = 2(axb) (abx + 3bx) = 2(axb) Solving abx + 3bx = 2abx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2abx' to each side of the equation. abx + -2abx + 3bx = 2abx + -2abx Combine like terms: abx + -2abx = -1abx -1abx + 3bx = 2abx + -2abx Combine like terms: 2abx + -2abx = 0 -1abx + 3bx = 0 Add '-3bx' to each side of the equation. -1abx + 3bx + -3bx = 0 + -3bx Combine like terms: 3bx + -3bx = 0 -1abx + 0 = 0 + -3bx -1abx = 0 + -3bx Remove the zero: -1abx = -3bx Divide each side by '-1bx'. a = 3 Simplifying a = 3
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